Results 41 to 50 of about 77 (76)

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

A Unified Sharp Integral Inequality With Applications to Trapezoid, Mid‐Point, and Simpson‐Type Inequalities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar, Mohsen Kian, Smritijit Sen   +2 more
wiley   +1 more source

Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
doaj   +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

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, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +1 more source

Ostrowski-Type Inequalities in Complex Hilbert Spaces for Square Modulus Convex Functions of Operators

Mathematics
The present work is devoted to deriving Ostrowski-type inequalities for square modulus convex mappings K:[α,β]⊂R→B(H) in complex Hilbert spaces. We show that the deviation of the weighted integral mean ∫Xρ|K∘φ|2dμ from the pointwise value |K(ξ)|2 at any ...
Ohud Bulayhan Almutairi
doaj   +1 more source

More General Ostrowski-Type Inequalities in the Fuzzy Context

Mathematics
In this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space.
Muhammad Amer Latif
doaj   +1 more source

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]

PLoS One, 2023
Guo J, Zhu X, Li W, Li H.
europepmc   +1 more source

Fuzzy Milne, Ostrowski, and Hermite–Hadamard-Type Inequalities for ħ-Godunova–Levin Convexity and Their Applications

Axioms
In this paper, we establish several Milne-type inequalities for fuzzy number mappings and investigate their relationships with other inequalities. Specifically, we utilize Aumann’s integral and the fuzzy Kulisch–Miranker order, as well as the newly ...
Juan Wang, Valer-Daniel Breaz, Yasser Salah Hamed, Luminita-Ioana Cotirla, Xuewu Zuo   +4 more
doaj   +1 more source

Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]

Entropy (Basel), 2022
Almutairi OB.
europepmc   +1 more source

Generalized Fuzzy-Valued Convexity with Ostrowski’s, and Hermite-Hadamard Type Inequalities over Inclusion Relations and Their Applications

Axioms
Convex inequalities and fuzzy-valued calculus converge to form a comprehensive mathematical framework that can be employed to understand and analyze a broad spectrum of issues.
Miguel Vivas Cortez, Ali Althobaiti, Abdulrahman F. Aljohani, Saad Althobaiti   +3 more
doaj   +1 more source