Results 61 to 70 of about 206 (173)

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

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

Montgomery identity and Ostrowski-type inequalities via quantum calculus

Open Mathematics, 2021
In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin, Ali Muhammad Aamir, Budak Huseyin, Abbas Mujahid, Chasreechai Saowaluck   +4 more
doaj   +1 more source

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami, Waseela Bibi, B. A. Younis, Ghulam Farid, Mohammed Ali, Shrideh K. Q. Al-Omari   +5 more
wiley   +1 more source

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p‐convex functions, and explore their properties.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez, B. B. Upadhyay   +4 more
wiley   +1 more source

Simpson-like and Hermite-Hadamard-like Type Inequalities for Harmonically Quasi-convex Functions [PDF]

, 2014
In this paper, by using a generalized integral identity for differentiable functions, the author obtain some new upper bounds of HermiteHadamard type inequalities and new Simpson-like type inequalities, for differentiable harmonically quasi-convex ...
Jaekeun Park
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Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman, Abdul Rauf Khan   +4 more
wiley   +1 more source

Generalization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α, m)-Convex

, 2014
In this article, some new Hadamard-like, which estimate the difference between Mathematics Subject Classification: 26A51 ...
Jaekeun Park
core  

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah, Edward Prempeh, Narendra K. Govil   +2 more
wiley   +1 more source

Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

, 2015
In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
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