Results 81 to 90 of about 7,964 (239)

Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this paper, we present a new version of Simpson‐type inequalities for differentiable functions defined on a subinterval of the positive real axis. The approach involves a nonnegative integrable weight function and provides an identity that refines the classical Simpson inequality by incorporating the first derivative of the function. A key aspect of
Hasan Öğünmez, Mehmet Zeki Sarikaya, Ivan Giorgio   +2 more
wiley   +1 more source

Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions

Fractal and Fractional, 2021
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan, Savin Treanțǎ, Mohamed S. Soliman, Kamsing Nonlaopon, Hatim Ghazi Zaini   +4 more
doaj   +1 more source

On the Integral Representation and the Raşa, Jensen and Hermite–Hadamard Inequalities for Box-Convex Functions [PDF]

, 2023
Andrzej Komisarski, Teresa Rajba
openalex   +1 more source

The Hermite Hadamard Inequality on Hypercuboid

JOURNAL OF ADVANCES IN MATHEMATICS, 2019
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
openaire   +3 more sources

Application of (q, τ)‐Bernoulli Interpolation to the Spectral Solution of Quantum Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani, Rabha W. Ibrahim, Khalil Ezzinbi   +2 more
wiley   +1 more source

Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus

AIMS Mathematics
The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its ...
Saad Ihsan Butt, Muhammad Nasim Aftab , Hossam A. Nabwey, Sina Etemad   +3 more
doaj   +1 more source

Estimations of the Disparity Between Hydrogen Ion Concentration and pH in the Context of Caputo–Fabrizio Fractional Integrals via Convexity

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Atiq Ur Rehman, Ndolane Sene, Nikhil Khanna   +5 more
wiley   +1 more source

Multiplicative Harmonic P‐Functions With Some Related Inequalities

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This manuscript includes the investigation of the idea of a multiplicative harmonic P‐function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus.
Serap Özcan, Saad Ihsan Butt, Hossam A. Nabwey, Sina Etemad, Samuel Nicolay   +4 more
wiley   +1 more source

Some New Inequalities of Hermite-Hadamard's Type

Kyungpook mathematical journal, 2010
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.
Sağlam, Aziz, Yıldırım H., Sarıkaya, Mehmet Zeki   +2 more
openaire   +4 more sources

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source