Results 91 to 100 of about 1,944 (219)
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the class of interval‐valued s‐convex functions in the second sense sIVC2 using Caputo–Fabrizio CF integrals. Some generalizations of the Hermite–Hadamard HH‐type, Hermite–Hadamard–Fejér HHF‐type, and Hermite–Hadamard–Mercer HHM‐type inclusions involving the CF integrals are developed.
Ammara Nosheen +5 more
wiley +1 more source
More refinements of Hermite-Hadamard inequality [PDF]
, 2016 碩士本文主要針對Hermite-Hadamard不等式建立一些更細緻的結果。The main purpose of this paper is to give some generalizations and refinements of Hermite-Hadamard inequality.中文部分 1. 引言 -------------------------------------------- 1 2. 準備工作 ----------------------------------------
林凡又;Lin, Fan-Yu
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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator
Fractal and Fractional, 2019 In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid +2 more
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Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi +4 more
wiley +1 more source
Some refinements of Hadamard inequality [PDF]
, 2016 碩士如果 f : I → ℝ 為I中的凸函數，則 f( (a+b)/2)≤1/(b-a ) ∫_a^b▒〖f(x)dx ≤ 1/(2 ) [f(a)+f(b)] 〗 (1.1) 恆成立，為眾所週知的Hermite-Hadamard不等式 如果 f為I中的凸函數，是否存在實數 l及L 滿足下列不等式： f((a+b)/2)≤ l ≤1/(b-a ) ∫_a^b▒〖f(x)dx ≤L ≤ 1/(2 ) [f(a)+f(b)] 〗 (1.2 ...
黃維洲;Huang, Wei-Chou
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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma +5 more
wiley +1 more source
On refinements of hermite-hadamard inequality [PDF]
, 2016 碩士本論文的主要目的是利用凸函數的性質及Hadamard不等式，推導(1.2)中是否存在實數,提供(1.2)問題更多的答案The main purpose of this paper establish some new inequalities related to the Hermite-Hadamard’s inequality . It is to give more answers to the question (1.2)目次 中文部分 1.緒論………………………………………………………………
羅文宏;Luo, Wen-Horng
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Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
wiley +1 more source