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

Authors: Wenbing Sun, Rui Xu

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

Subject Terms: 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

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Access URL: 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

On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals

Authors: Wenbing Sun

Source: Quaestiones Mathematicae; Vol 42, No 9 (2019); 1159–1183

Subject Terms: Hermite-Hadamard inequality, Ostrowski inequality, Simpson inequality, generalized harmonically convex function, fractal set, local fractional integral, 0101 mathematics, 01 natural sciences

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Access URL: https://www.ajol.info/index.php/qm/article/view/191470
https://www.tandfonline.com/doi/abs/10.2989/16073606.2018.1509242
https://www.ajol.info/index.php/qm/article/view/191470

On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals

Authors: Sun, Wenbing

Source: Quaestiones Mathematicae; Vol 42, No 9 (2019); 1159–1183 ; 1727-933X ; 1607-3606

Subject Terms: Hermite-Hadamard inequality, Ostrowski inequality, Simpson inequality, generalized harmonically convex function, fractal set, local fractional integral

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Relation: https://www.ajol.info/index.php/qm/article/view/191470/180636; https://www.ajol.info/index.php/qm/article/view/191470

Availability: https://www.ajol.info/index.php/qm/article/view/191470