Fractional integral approach to parameterized inequalities for (s,P)-preinvexity: Fractional integral approach to parameterized inequalities for \((s, P)\)-preinvexity

Συγγραφείς: Yuan, Zhengrong, Du, Ting-Song

Πηγή: Journal of Mathematical Inequalities. :387-419

Θεματικοί όροι: Fractional derivatives and integrals, \((s, P)\)-preinvex functions, Inequalities for sums, series and integrals, fractional integrals, Hermite-Hadamard-type inequalities, Convexity of real functions in one variable, generalizations, Approximate quadratures

Περιγραφή αρχείου: application/xml

Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Συγγραφείς: Kayar Zeynep, Kaymakçalan Billur

Πηγή: Demonstratio Mathematica, Vol 58, Iss 1, Pp 2797-2819 (2025)

Θεματικοί όροι: Inequalities involving derivatives and differential and integral operators, Bennett-Leindler inequality, pachpatte's inequality, Hardy-Copson inequality, Convexity of real functions in one variable, generalizations, Dynamic equations on time scales or measure chains, 26d15, QA1-939, time scale calculus, concavity, bennett-leindler inequality, 26a51, Inequalities for sums, series and integrals, hardy-copson inequality, 26d10, Mathematics, Pachpatte's inequality, 34n05

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8032768
https://doi.org/10.1515/dema-2025-0114
https://doaj.org/article/7c4e0dd27af0414fa8c487917be22a5d

Corrected Simpson's second formula inequalities on fractal set

Συγγραφείς: Meftah, Badreddine, LAKHDARI, Abdelghani, Benchettah, Djaber Chemseddine, Saleh, Wedad

Πηγή: Fractional Differential Calculus. :1-19

Θεματικοί όροι: generalised \((s,P)\)-convex functions, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, fractal set, Convexity of real functions in one variable, generalizations, local fractional integrals

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://avesis.kocaeli.edu.tr/publication/details/180cdfcf-00fb-4ef2-8446-75cb2113b228/oai

Novel notions of symmetric Hahn calculus and related inequalities

Συγγραφείς: Saad Ihsan Butt, Muhammad Nasim Aftab, Asfand Fahad, Yuanheng Wang, Bandar Bin Mohsin

Πηγή: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-24 (2024)

Θεματικοί όροι: Symmetric Quantum calculus, Difference equations, scaling (\(q\)-differences), symmetric Hahn calculus, Hölder's inequality, Inequalities involving derivatives and differential and integral operators, symmetric quantum calculus, 01 natural sciences, Convexity of real functions in one variable, generalizations, Hahn calculus, Symmetric Hahn calculus, Hermite-Hadamard inequality, \(q\)-calculus and related topics, QA1-939, Inequalities for sums, series and integrals, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/4336bd341f5e474a9c4a3c0b9e797139

Analysis of $(P,\mathrm{m})$-superquadratic function and related fractional integral inequalities with applications: Analysis of \((P, \mathrm{m})\)-superquadratic function and related fractional integral inequalities with applications

Συγγραφείς: Dawood Khan, Saad Ihsan Butt, Youngsoo Seol

Πηγή: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)

Θεματικοί όροι: Modified Bessel function of the first kind, \((P, \mathrm{m})\)-superquadratic function, Riemann–Liouville fractional integral operators, Jensen inequality, Moment of random variable, Convexity of real functions in one variable, generalizations, Hermite–Hadamard inequality, Hermite-Hadamard inequality, Fractional derivatives and integrals, QA1-939, Inequalities for sums, series and integrals, modified Bessel function of the first kind, ( P , m ) $(P,\mathrm{m})$ -superquadratic function, Riemann-Liouville fractional integral operators, Mathematics, moment of random variable

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/4fba27a38f2b43ee9b08a19b4035dc95

Some estimations of the Jensen difference and applications

Συγγραφείς: Muhammad Adil Khan, Hidayat Ullah, Tareq Saeed

Πηγή: Mathematical Methods in the Applied Sciences. 46:5863-5892

Θεματικοί όροι: convex functions, Hermite-Hadamard inequality, Hölder inequality, Jensen inequality, Inequalities for sums, series and integrals, power means, 0101 mathematics, 01 natural sciences, Convexity of real functions in one variable, generalizations, information theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7782141
https://doi.org/10.1002/mma.8873

On comparison of mean values

Συγγραφείς: Daroczy, Z., Pales, Zs.

Πηγή: Publicationes Mathematicae Debrecen. 29:107-115

Θεματικοί όροι: Other analytical inequalities, derivation mean, continuous strictly monotonic functions, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, inequalities, 0101 mathematics, 01 natural sciences, Convexity of real functions in one variable, generalizations, Monotonic functions, generalizations, weighted quasiarithmetic mean

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3801841

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Συγγραφείς: Wu, Shanhe, Khan, Muhammad Adil, Faisal, Shah, Saeed, Tareq, Nwaeze, Eze R.

Πηγή: Demonstratio Mathematica, Vol 57, Iss 1, Pp 1-12 (2024)

Θεματικοί όροι: 68p30, convex function, atangana-baleanu fractional operators, Atangana-Baleanu fractional operators, 01 natural sciences, Convexity of real functions in one variable, generalizations, 26d15, Fractional derivatives and integrals, Mathematik, QA1-939, majorization, 26a51, Inequalities for sums, series and integrals, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml; image/jpeg; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/7899340
https://doi.org/10.1515/dema-2024-0024
https://doaj.org/article/1f3db4cceaf0408cbbb823036feac630

New properties for the Ramanujan R-function: New properties for the Ramanujan \(R\)-function

Συγγραφείς: Cai Chuan-Yu, Chen Lu, Huang Ti-Ren, Chu Yuming

Πηγή: Open Mathematics, Vol 20, Iss 1, Pp 724-742 (2022)

Θεματικοί όροι: gaussian hypergeometric function, Other analytical inequalities, convexity, riemann zeta function, 33b15, 33c05, monotonicity, 01 natural sciences, Convexity of real functions in one variable, generalizations, ramanujan r-function, Classical hypergeometric functions, \({}_2F_1\), Ramanujan \(R\)-function, QA1-939, 26a51, Gaussian hypergeometric function, generalized elliptic integral, Riemann zeta function, 0101 mathematics, 26d20, Gamma, beta and polygamma functions, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7602796
https://doi.org/10.1515/math-2022-0045
https://doaj.org/article/a3cb08a736cd4137a4c4149c80a7f177

Some integral inequalities for generalized preinvex functions with applications

Συγγραφείς: Muhammad Tariq, Soubhagya Kumar Sahoo, Fahd Jarad, Bibhakar Kodamasingh

Πηγή: AIMS Mathematics, Vol 6, Iss 12, Pp 13907-13930 (2021)

Θεματικοί όροι: Algebraic number, Hölder inequality, Evolutionary biology, hölder-i̇şcan inequality, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, 01 natural sciences, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Fractional derivatives and integrals, Nonlinear programming, \(s\)-type preinvexity, Field (mathematics), QA1-939, improved power-mean integral inequality, FOS: Mathematics, Hölder-İşcan inequality, 0101 mathematics, Biology, Hadamard transform, hölder's inequality, Convexity of real functions of several variables, generalizations, s-type preinvexity, Hermite polynomials, Algebra over a field, Arithmetic, Ecology, Applied Mathematics, Physics, Matrix Inequalities, Pure mathematics, Harmonic, Stability of Functional Equations in Mathematical Analysis, Inequality, Function (biology), FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Hermite-Hadamard Inequalities, Type (biology), Mathematics, preinvex function, Hypergeometric Functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/f4a70905a802439d85056fab9698c293
https://www.aimspress.com/article/doi/10.3934/math.2021805

Some Ostrowski type inequalities via $ n $-polynomial exponentially $ s $-convex functions and their applications: Some Ostrowski type inequalities via \(n\)-polynomial exponentially \(s\)-convex functions and their applications

Συγγραφείς: Muhammad Tariq, Habes Alsamir, Hassen Aydi, Jamshed Nasir, Soubhagya Kumar Sahoo

Πηγή: AIMS Mathematics, Vol 6, Iss 12, Pp 13272-13290 (2021)

Θεματικοί όροι: Algebraic number, Financial economics, Economics, Geometry, Evolutionary biology, Convex Functions, Hölder's inequality, Matrix Inequalities and Geometric Means, Matrix Valued Polynomials, Polynomial, Mathematical analysis, 01 natural sciences, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convexity, Convex function, Fractional derivatives and integrals, QA1-939, \(n\)-polynomial exponentially \(s\)-convex function, FOS: Mathematics, Ostrowski inequality, 0101 mathematics, power-mean integral inequality, Biology, hölder's inequality, Hermite polynomials, Algebra over a field, n-polynomial exponentially s-convex function, Ecology, Applied Mathematics, Pure mathematics, Inequalities involving derivatives and differential and integral operators, Stability of Functional Equations in Mathematical Analysis, Discrete mathematics, Applied mathematics, Regular polygon, ostrowski inequality, Function (biology), FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Inequalities involving other types of functions, Type (biology), Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7533484
https://doi.org/10.3934/math.2021768
https://doaj.org/article/925295b88d474101a1404d637920f722
https://doaj.org/article/925295b88d474101a1404d637920f722
https://purerims.smu.ac.za/en/publications/some-ostrowski-type-inequalities-via-n-polynomial-exponentially-s
https://www.aimspress.com/article/doi/10.3934/math.2021768

Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

Συγγραφείς: Wenbing Sun, Rui Xu

Πηγή: AIMS Mathematics, Vol 6, Iss 10, Pp 10679-10695 (2021)

Θεματικοί όροι: Hermite-Hadamard-type inequality, local fractional integral, generalized harmonically convex function, Inequalities involving derivatives and differential and integral operators, hermite-hadamard type inequality, 16. Peace & justice, 01 natural sciences, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, yang's fractal sets, QA1-939, Inequalities for sums, series and integrals, Yang's fractal sets, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7536356
https://doi.org/10.3934/math.2021620
https://doaj.org/article/13a3dc553b4d4524b3e03dfaed7ef85d
https://www.aimspress.com/article/doi/10.3934/math.2021620

Concavity and bounds involving generalized elliptic integral of the first kind

Συγγραφείς: Tie-Hong Zhao, Yu-Ming Chu, Miao-Kun Wang

Πηγή: Journal of Mathematical Inequalities. :701-724

Θεματικοί όροι: Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, generalized elliptic integrals, concavity, Gaussian hypergeometric function, Ramanujan constant function, 0101 mathematics, 01 natural sciences, Convexity of real functions in one variable, generalizations, generalized Grötzsch ring function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://files.ele-math.com/abstracts/jmi-15-50-abs.pdf
https://zbmath.org/7371152
https://doi.org/10.7153/jmi-2021-15-50

On post quantum integral inequalities

Συγγραφείς: Muhammad Uzair Awan, Yu-Ming Chu, Khalida Inayat Noor, Sadia Talib, Muhammad Aslam Noor

Πηγή: Journal of Mathematical Inequalities. :629-654

Θεματικοί όροι: preinvexity, Hermite-Hadamard inequality, convexity, \(q\)-calculus and related topics, Inequalities for sums, series and integrals, 0101 mathematics, quantum calculus, 01 natural sciences, Convexity of real functions in one variable, generalizations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://files.ele-math.com/abstracts/jmi-15-46-abs.pdf

A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean

Συγγραφείς: Miao-Kun Wang, Miao-Ying Hong, Yu-Ming Chu

Πηγή: Journal of Mathematical Inequalities. :559-573

Θεματικοί όροι: power mean, convexity, generalized trigonometric sine function, 0101 mathematics, Inequalities involving other types of functions, 01 natural sciences, Convexity of real functions in one variable, generalizations, Exponential and trigonometric functions, Means, generalized inverse trigonometric sine function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://files.ele-math.com/abstracts/jmi-15-41-abs.pdf
https://zbmath.org/7371143
https://doi.org/10.7153/jmi-2021-15-41

New integral inequalities using exponential type convex functions with applications

Συγγραφείς: Jian Wang, Saad Ihsan But, Artion Kashuri, Muhammad Tariq

Πηγή: AIMS Mathematics, Vol 6, Iss 7, Pp 7684-7703 (2021)

Θεματικοί όροι: exponential type convexity, Economics, Exponential type, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, 01 natural sciences, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, QA1-939, FOS: Mathematics, Jensen's inequality, power-mean inequality, 0101 mathematics, power mean inequality, Biology, Hadamard transform, Order (exchange), Hermite polynomials, convexity, Ecology, hermite-hadamard inequality, Applied Mathematics, Physics, Exponential function, Pure mathematics, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Convex optimization, Regular polygon, Convex analysis, Hermite-Hadamard inequality, Inequality, error estimation, FOS: Biological sciences, Physical Sciences, Inequalities for sums, series and integrals, Thermodynamics, Differential (mechanical device), exponential-type convexity, Hermite-Hadamard Inequalities, special means, Type (biology), Mathematics, Finance, Hypergeometric Functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7513657
https://doi.org/10.3934/math.2021446
https://doaj.org/article/6b1fb1a762ca441d8e916fba6288df47
https://www.aimspress.com/article/doi/10.3934/math.2021446

Hermite–Hadamard-type inequalities via different convexities with applications: Hermite-Hadamard-type inequalities via different convexities with applications

Συγγραφείς: Muhammad Samraiz, Maria Malik, Saima Naheed, Gauhar Rahman, Kamsing Nonlaopon

Πηγή: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)

Θεματικοί όροι: Rearrangement inequality, Artificial intelligence, Class (philosophy), Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, 01 natural sciences, Trapezoid rule, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, Fractional derivatives and integrals, \(q\)-gamma functions, \(q\)-beta functions and integrals, Hermite–Hadamard-type inequalities, QA1-939, FOS: Mathematics, \(m\)-convex function, Hermite-Hadamard-type inequalities, 0101 mathematics, Biology, Hadamard transform, Hermite polynomials, Algebra over a field, Log sum inequality, Ecology, Applied Mathematics, Pure mathematics, Applied mathematics, Midpoint, Computer science, Convex optimization, Regular polygon, trapezoid rule, Inequality, error estimates, Young's inequality, \(q\)-calculus and related topics, FOS: Biological sciences, Physical Sciences, m-convex function, Inequalities for sums, series and integrals, Error estimates, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Hypergeometric Functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7778067
https://doi.org/10.1186/s13660-023-02957-7
https://doaj.org/article/5b53f7005d344f7fb2dbff1ecf836f6d

Bounds for the Remainder in Simpson’s Inequality vian-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals: Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals

Συγγραφείς: Yu-Ming Chu, Muhammad Uzair Awan, Muhammad Zakria Javad, Awais Gul Khan

Πηγή: Journal of Mathematics, Vol 2020 (2020)

Θεματικοί όροι: Fractional derivatives and integrals, QA1-939, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, 0101 mathematics, 01 natural sciences, Mathematics, Convexity of real functions in one variable, generalizations

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://downloads.hindawi.com/journals/jmath/2020/4189036.pdf
https://zbmath.org/7290888
https://doi.org/10.1155/2020/4189036
https://doaj.org/article/9a4ee6a6e2834e78925b2ba00345ec15
https://www.hindawi.com/journals/jmath/2020/4189036/
https://downloads.hindawi.com/journals/jmath/2020/4189036.pdf
http://downloads.hindawi.com/journals/jmath/2020/4189036.pdf

Some Trapezium-Like Inequalities Involving Functions Having Strongly n-Polynomial Preinvexity Property of Higher Order: Some trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher order

Συγγραφείς: Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor, Yu-Ming Chu, Khalida Inayat Noor

Πηγή: Journal of Function Spaces, Vol 2020 (2020)

Θεματικοί όροι: QA1-939, Inequalities for sums, series and integrals, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Mathematics, Convexity of real functions in one variable, generalizations

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://downloads.hindawi.com/journals/jfs/2020/9154139.pdf
https://doaj.org/article/c990db9e169040a2b349142b452c6c0d
https://downloads.hindawi.com/journals/jfs/2020/9154139.pdf
http://downloads.hindawi.com/journals/jfs/2020/9154139.pdf
https://www.hindawi.com/journals/jfs/2020/9154139/

Schur Convexity and Inequalities for a Multivariate Symmetric Function: Schur convexity and inequalities for a multivariate symmetric function

Συγγραφείς: Ming-Bao Sun, Xin-Ping Li, Sheng-Fang Tang, Zai-Yun Zhang

Πηγή: Journal of Function Spaces, Vol 2020 (2020)

Θεματικοί όροι: convexity, inequalities Schur, QA1-939, Inequalities for sums, series and integrals, symmetric function, 0101 mathematics, 01 natural sciences, Mathematics, Convexity of real functions in one variable, generalizations

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://downloads.hindawi.com/journals/jfs/2020/9676231.pdf
https://zbmath.org/7247500
https://doi.org/10.1155/2020/9676231
https://doaj.org/article/725d6826cb0941e4aa5134f0d158bb3c
https://downloads.hindawi.com/journals/jfs/2020/9676231.pdf
https://www.hindawi.com/journals/jfs/2020/9676231/
http://downloads.hindawi.com/journals/jfs/2020/9676231.pdf