Results 71 to 80 of about 497,802 (181)

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

Better Approximation of Integral Form of Midpoint Formula Using p‐Convex Function via Katugampola Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, new estimations of the integral form of the midpoint formula are derived for p‐convex functions via Katugampola fractional integrals. A specific identity for differentiable functions is established, which extends and strengthens the integral midpoint inequality through innovative estimations.
Muhammad Latif, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Richard I. Avery   +5 more
wiley   +1 more source

Some Companions of Fejér's Inequality for Convex Functions [PDF]

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard\ud type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements ...
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +4 more sources

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Numerical Simulations of Newton‐Type Inequalities for Differentiable Modified p‐Convex Functions Involving Riemann–Liouville Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, Riemann–Liouville fractional integrals are employed to prove several new Newton‐type inequalities related to the modified class of p‐convex property of differentiable functions. Some more inequalities are also derived for functions of bounded variation.
Fadhel Almalki, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Shekhar Singh Negi   +5 more
wiley   +1 more source

Sharp Integral Inequalities of the Hermite–Hadamard Type

Journal of Approximation Theory, 2002
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Allal Guessab, Gerhard Schmeisser
openaire   +3 more sources

Fractional Integral Inequalities via Caputo k‐Derivatives for Generalized Strongly Modified h‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid, Halim Benali, Sabri T. M. Thabet, Taoufik Moulahi, Al-Taweel Ahmed   +4 more
wiley   +1 more source

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, Fiza Zafar, Nusrat Yasmin   +2 more
doaj   +1 more source

Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues. By appropriate choice of weight functions, we establish generalized fractional versions of the inequalities for various types of ...
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya, Claudia Capone   +3 more
wiley   +1 more source

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

International Journal of Mathematics and Mathematical Sciences, 2022
In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj   +1 more source