Acceleration theorem for low-dimensional electron systems with off-diagonal effective-mass components.

Authors: Mori, Nobuya¹ (AUTHOR) nobuya.mori@eei.eng.osaka-u.ac.jp, Tanaka, Hajime¹ (AUTHOR), Okada, Jo¹ (AUTHOR)

Source: Journal of Applied Physics. 6/28/2025, Vol. 137 Issue 24, p1-10. 10p.

Subject Terms: *DISPERSION relations, *APPROXIMATION theory, *ELECTRIC fields, *ELECTRONS, *DISPERSION (Chemistry)

Efficient sampling of free energy landscapes with functions in Sobolev spaces.

Authors: Zubieta Rico, Pablo F.¹ (AUTHOR) pzubieta@uchicago.edu, Pérez-Lemus, Gustavo R.¹ (AUTHOR), de Pablo, Juan J.^2,3 (AUTHOR) jjd8110@nyu.edu

Source: Journal of Chemical Physics. 2/28/2025, Vol. 162 Issue 8, p1-9. 9p.

Subject Terms: *ARTIFICIAL neural networks, *APPROXIMATION theory, *SOBOLEV spaces, *ENERGY function, *FUNCTION spaces

A unified diagrammatic formulation of single-reference and multi-reference random phase approximations: The particle–hole and particle–particle channels.

Authors: Wang, Yuqi, Fang, Wei-Hai, Li, Zhendong

Source: Journal of Chemical Physics; 11/7/2025, Vol. 163 Issue 17, p1-13, 13p

Subject Terms: PARTICLE-hole model, GREEN'S functions, APPROXIMATION theory, ACCURACY, GENERALIZATION

Unphysical solutions in coupled-cluster-based random phase approximation and how to avoid them.

Authors: Song, Ruiheng, Gong, Xiliang, Ye, Hong-Zhou

Source: Journal of Chemical Physics; 10/28/2025, Vol. 163 Issue 16, p1-8, 8p

Subject Terms: PERTURBATION theory, QUASIPARTICLES, METAL clusters, APPROXIMATION theory, ROBUST control

A numerically exact calculation of vibration–rotation–tunneling levels of water dimer on a new accurate potential energy surface: Achieving sub-cm⁻¹ accuracy from the terahertz to the infrared.

Authors: Wang, Xiao-Gang, Yang, Shuo, Carrington Jr., Tucker, Zhang, Dong H.

Source: Journal of Chemical Physics; 10/14/2025, Vol. 163 Issue 14, p1-20, 20p

Subject Terms: POTENTIAL energy surfaces, QUANTUM tunneling, APPROXIMATION theory, PREDISSOCIATION (Chemistry), ARTIFICIAL neural networks

On the increase of the melting temperature of water confined in one-dimensional nano-cavities.

Authors: Della Pia, Flaviano¹ (AUTHOR), Zen, Andrea^2,3 (AUTHOR), Kapil, Venkat^1,4,5,6 (AUTHOR), Thiemann, Fabian L.⁷ (AUTHOR), Alfè, Dario^2,3,5,6 (AUTHOR), Michaelides, Angelos¹ (AUTHOR) v.kapil@ucl.ac.muk

Source: Journal of Chemical Physics. 12/14/2024, Vol. 161 Issue 22, p1-10. 10p.

Subject Terms: *APPROXIMATION theory, *DENSITY functional theory, *MELTWATER, *PHASE diagrams, *WATER temperature

King-type modification of Páltănea–Bernstein–Durrmeyer-type operators.

Authors: Grewal, Brijesh Kumar¹ (AUTHOR) grewalbriz89@gmail.com, Rani, Meenu¹ (AUTHOR) meenu_rani@thapar.edu

Source: Arabian Journal of Mathematics. Dec2025, Vol. 14 Issue 3, p455-464. 10p.

Subject Terms: *APPROXIMATION theory, *OPERATOR equations

Shape Preserving Approximation of Periodic Functions: Conclusion.

Authors: Leviatan, D.¹ (AUTHOR) leviatan@tauex.tau.ac.il, Shevchuk, I. O.² (AUTHOR) shevchukio@knu.ua

Source: Constructive Approximation. Dec2025, Vol. 62 Issue 3, p591-612. 22p.

Subject Terms: *PERIODIC functions, *APPROXIMATION theory, *MATHEMATICAL analysis, *FOURIER series, *ESTIMATION theory, *CONVEX functions

Estimates of bivariate new Kantorovich type of the Balázs-Szabados operators based on q-integers.

Authors: Hamal, Hayatem¹ (AUTHOR) hafraj@yahoo.com, Raiz, Mohd² (AUTHOR) mohdraizp@gmail.com

Source: Mathematical Foundations of Computing. Dec2025, Vol. 8 Issue 6, p1-17. 17p.

Subject Terms: *APPROXIMATION theory, *LIPSCHITZ continuity, *OPERATOR functions, *MULTIVARIABLE calculus

Numerical and Theoretical Approximation Through Riemann–Liouville‐Type Fractional Kantorovich Operators.

Authors: Sehrawat, Priya¹ (AUTHOR), Mohiuddine, S. A.^2,3 (AUTHOR), Kajla, Arun¹ (AUTHOR) rachitkajla47@gmail.com, Alotaibi, Abdullah³ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. 11/15/2025, Vol. 48 Issue 16, p15533-15542. 10p.

Subject Terms: *APPROXIMATION theory, *FRACTIONAL calculus, *LIPSCHITZ spaces, *LIPSCHITZ continuity

Quantitative Estimates for Generalized Bernstein–Kantorovich Operators.

Authors: Baxhaku, Behar¹ (AUTHOR) behar.baxhaku@uni-pr.edu, Agrawal, P. N.² (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. 11/15/2025, Vol. 48 Issue 16, p15493-15505. 13p.

Subject Terms: *BERNSTEIN polynomials, *APPROXIMATION theory, *COMPUTER simulation

On the convergence rate of two-stage sampling distribution regression.

Authors: Tian, Mingdang¹ (AUTHOR) 20112016@zyufl.edu.cn, Ni, Chenmin¹ (AUTHOR) 20172013@zyufl.edu.cn, Sheng, Baohuai¹ (AUTHOR) bhsheng@usx.edu.cn

Source: International Journal of Wavelets, Multiresolution & Information Processing. Nov2025, p1. 28p.

Subject Terms: *APPROXIMATION error, *APPROXIMATION theory, *ADAPTIVE sampling (Statistics), *CONVEX geometry, *SMOOTHNESS of functions

Approximation operators explored through the lens of degenerate hermite polynomials.

Authors: Raza, Nusrat¹ (AUTHOR) nraza.maths@gmail.com, Kumar, Manoj² (AUTHOR) mkumar5@myamu.ac.in, Mursaleen, M.^2,3,4 (AUTHOR) mursaleenm@gmail.com

Source: Numerical Algorithms. Nov2025, Vol. 100 Issue 3, p1179-1198. 20p.

Subject Terms: *HERMITE polynomials, *APPROXIMATION theory, *VISUAL aids, *ASYMPTOTIC analysis, *APPROXIMATION algorithms, *MATHEMATICAL analysis, *POSITIVE operators

Complete metric approximation property for mixed q-deformed Araki–Woods factors.

Authors: Bikram, Panchugopal^1,2 (AUTHOR) bikram@niser.ac.in, Mohanta, Rajeeb^1,2 (AUTHOR) rajeeb.mohanta@niser.ac.in, Mukherjee, Kunal Krishna^1,2 (AUTHOR) kunal@iitm.ac.in

Source: Reviews in Mathematical Physics. Nov2025, Vol. 37 Issue 10, p1-33. 33p.

Subject Terms: *OPERATOR algebras, *APPROXIMATION theory, *VON Neumann algebras, *SYMMETRIC matrices, *METRIC spaces, *QUANTUM groups

A generalization of Szász operators including Dunkl–Appell polynomials of class A⁽²⁾.

Authors: Çelik, Fatih Rıza¹ (AUTHOR) friza.celik@gazi.edu.tr, İçöz, Gürhan² (AUTHOR)

Source: Integral Transforms & Special Functions. Nov2025, Vol. 36 Issue 11, p961-976. 16p.

Subject Terms: *APPROXIMATION theory, *POLYNOMIAL operators, *ORTHOGONAL polynomials, *MATHEMATICAL analysis

A unifying theory for metrical results on regular continued fraction convergents and mediants.

Authors: Dajani, Karma¹ (AUTHOR), Kraaikamp, Cor² (AUTHOR), Sanderson, Slade¹ (AUTHOR)

Source: Mathematics of Computation. Nov2025, Vol. 94 Issue 356, p3101-3144. 44p.

Subject Terms: *CONTINUED fractions, *APPROXIMATION theory, *MATHEMATICAL analysis, *METRIC spaces, *MEDIAN (Mathematics)

Approximation by uniformly distributed sequences.

Authors: Robert, Gerardo González¹ (AUTHOR), Hussain, Mumtaz¹ (AUTHOR), Shulga, Nikita¹ (AUTHOR), Ward, Benjamin² (AUTHOR) benjamin.ward@york.ac.uk

Source: Bulletin of the London Mathematical Society. Nov2025, Vol. 57 Issue 11, p3550-3566. 17p.

Subject Terms: *UNIFORM distribution (Probability theory), *APPROXIMATION theory, *DIMENSION theory (Topology), *MATHEMATICAL sequences, *APPROXIMATION error

A family of even-order edge-oriented nonconforming finite elements in 2D with efficient locally conservative flux reconstruction.

Authors: Jo, Gwanghyun¹ (AUTHOR) gwanghyun@hanyang.ac.kr, Park, Hyeokjoo^1,2 (AUTHOR) hyeokjoopark@yonsei.ac.kr

Source: Computers & Mathematics with Applications. Oct2025, Vol. 196, p127-134. 8p.

Subject Terms: *FINITE element method, *APPROXIMATION theory

On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations.

Authors: Quan, Jun-Jie¹ (AUTHOR) qjunjiexmu@jmu.edu.cn, Aslan, Reşat² (AUTHOR) resat63@hotmail.com, Yüksel, İsmet³ (AUTHOR) iyuksel@gazi.edu.tr, Odabaşı, Nadire Fulda⁴ (AUTHOR) nadirefuldaodabasi@gmail.com, Cai, Qing-Bo⁵ (AUTHOR) qbcai@qztc.edu.cn

Source: Journal of Inequalities & Applications. 10/15/2025, Vol. 2025 Issue 1, p1-16. 16p.

Subject Terms: *APPROXIMATION theory, *MOMENTS method (Statistics), *PARAMETERIZATION, *APPROXIMATION algorithms, *IMAGE representation

Approximation Properties of Bivariate Durrmeyer‐Type Exponential Sampling Series.

Authors: Buyenze, C. J.¹ (AUTHOR), Kumar, Santosh² (AUTHOR), Mursaleen, Mohammad^3,4,5 (AUTHOR) mursaleenm@gmail.com, Mpimbo, Marco¹ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. Oct2025, p1. 12p. 1 Illustration.

Subject Terms: *APPROXIMATION theory, *KERNEL functions, *MATHEMATICAL analysis, *MATHEMATICAL series, *COMPOSITION operators