Results 61 to 70 of about 5,199 (174)

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

A Generalised Trapezoid Type Inequality for Convex Functions [PDF]

, 2002
A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure ...
Dragomir, Sever Silvestru
core   +2 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

An Ostrowski Type Inequality for Convex Functions [PDF]

, 2002
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
core   +2 more sources

Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity

, 2012
In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal, Irshad, Wajeeha, Muddassar, Muhammad   +2 more
core   +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

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

, 2018
The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir, Alsaedi, Ahmed, Kirane, Mokhtar, Torebek, Berikbol T.   +3 more
core   +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