Results 51 to 60 of about 147 (123)

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

Some new Hermite-Hadamard type inequalities for product of strongly h-convex functions on ellipsoids and balls

Open Mathematics
We establish novel Hermite-Hadamard-type inequalities for the product of two strongly hh-convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces.
Song Jinwen, Li Bufan, Ruan Jianmiao
doaj   +1 more source

On the Theory of n‐Polynomial ϕ‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang, Mehtap Kübra Polat, Ferhat Polat, Çetin Yıldız, Lakhlifa Sadek   +4 more
wiley   +1 more source

Jensen Type Inequality for L-Gap Convex Functions

Annales Mathematicae Silesianae
The concept of l-gap convex functions is defined, which is more general than convex functions and allows some non-convex parts of the function. A Jensen type inequality is established and some examples are discussed. As an application and generalization,
Miao JinYan
doaj   +1 more source

Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir, Hüseyin Budak, Artion Kashuri, Mohammed Rabih, Fatih Hezenci, Muhammad Muawwaz, Smritijit Sen   +6 more
wiley   +1 more source

Advancements in conticrete Hermite–Hadamard–Mercer type fractional inequalities via separable sequences

Demonstratio Mathematica
The Hermite–Hadamard inequality remains a central focus in mathematical research, with its profound significance continually motivating mathematicians to explore new areas for its enhancement and generalizations.
Muhammad Tahir, Adil Khan Muhammad, Faisal Shah, Wang Xinglong, Sharaf Mohamed   +4 more
doaj   +1 more source

New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz, Arslan Munir, Ather Qayyum, Mohammed Rabih, Sara Ghareeb, Smritijit Sen   +5 more
wiley   +1 more source

Some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on coordinates [PDF]

, 2015
In the paper, the authors introduce a new concept "log; (α;m))-convex functions on the co-ordinates on the rectangle of the plane" and establish some new integral inequalities of Hermite-Hadamard type for (log; (α;m))-convex functions on the co-ordinates
XI, Bo-Yan, QI, Feng
core  

Better Approximations for Quasi-Convex Functions [PDF]

In this paper, by using Hölder-İşcan Hölder integral inequality and a general identity for differentiable functions, we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives ...
KADAKAL, Huriye
core   +1 more source

GTH-convex functions, their properties, and their integral inequalities

Open Mathematics
In this paper, the authors introduce a new class of generalized convex functions, called GTH-convex functions. They investigate their fundamental properties and establish several new integral inequalities of Hermite–Hadamard type for this class of ...
Bai Yu-Mei, Wu Ying, Qi Feng
doaj   +1 more source