Results 71 to 80 of about 1,944 (219)

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

open access: yesJournal 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   +3 more
wiley   +1 more source

Sharp Integral Inequalities of the Hermite–Hadamard Type

open access: yesJournal of Approximation Theory, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allal Guessab, Gerhard Schmeisser
openaire   +2 more sources

Generalizations and Refinements of Hermite-Hadamard's Inequality [PDF]

open access: yes, 2001
In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
core  

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

open access: yesBoundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq   +3 more
doaj   +1 more source

Harmonic Inequalities Associated With Left‐ and Right‐Sided Fractional Integral Operators Pertaining Exponential Kernels With Applications

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
We derive the left‐ and right‐sided fractional Hermite–Hadamard (H–H)‐type inequalities for harmonic convex mappings from the left‐ and right‐sided fractional integral operators possessing exponential kernels. In addition, we introduce two variants of fractional equalities that are further deployed with the idea differentiable harmonic convex mappings ...
Hira Inam   +4 more
wiley   +1 more source

On the Refined Hermite-Hadamard Inequalities

open access: yesMathematical Sciences and Applications E-Notes, 2018
In this paper, we give some new refinements of Hermite-Hadamard inequality for co-ordinated convex function. These refinements provide us better estimation as compare to the earlier established refinements of Hadamard’s inequality.
ALİ, Tahir   +3 more
openaire   +3 more sources

Several refinements of Hermite-Hadamard inequality [PDF]

open access: yes, 2018
碩士若f在[a,b]中為一個凸函數,那麼存在有實數k,K使得 k,K介於阿達瑪不等式的不等號中間嗎? 這個論文主要研究目的就是去找出更多這樣的答案。If f is convex function on [a,b],do there exist real numbers k,K,such that between the classic Hermite-Hadamard inequality?
卓羿廷;Jhuo, Yi-Ting
core  

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan   +4 more
wiley   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

open access: yesUniversal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir   +2 more
doaj   +1 more source

Newton‐Type Inequalities in the Context of Generalized Fractional Integrals via Several Function Classes

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate some new Newton‐type inequalities involving generalized fractional integrals by using different function classes. For this aim, we first prove an identity for differentiable functions. Then, by this equality, we prove several Newton‐type inequalities for the function classes such as convex functions, bounded functions ...
İrem Çay   +4 more
wiley   +1 more source

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