Results 51 to 60 of about 513,843 (110)
Fejér-Type Inequalities for Some Classes of Differentiable Functions
Mathematics, 2023 We let υ be a convex function on an interval [ι1,ι2]⊂R. If ζ∈C([ι1,ι2]), ζ≥0 and ζ is symmetric with respect to ι1+ι22, then υ12∑j=12ιj∫ι1ι2ζ(s)ds≤∫ι1ι2υ(s)ζ(s)ds≤12∑j=12υ(ιj)∫ι1ι2ζ(s)ds.
Bessem Samet
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Journal 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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah +5 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki +5 more
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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
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Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]
, 2005 Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
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Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals
Mathematics, 2019 In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood +2 more
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Mathematics, 2022 This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (𝐻𝐻-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker order relation, which is based on interval space, is used to define this fuzzy order ...
Muhammad Bilal Khan +3 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
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Green’s Function Approach to Hermite–Hadamard–Mercer Type Fractional Inequalities and Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hermite–Hadamard–Mercer (HHM) inequality, existing in two well‐established forms, plays a fundamental role in mathematical analysis. This inequality is characterized by three distinct components—namely, the left, middle, and right terms. This study is concerned to obtain novel generalized and refined HHM fractional inequalities by employing for the
Muhammad Zafran +6 more
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