Results 31 to 40 of about 558,085 (88)

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators

Axioms, 2023
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex ...
Bahtiyar Bayraktar, Péter Kórus, Juan Eduardo Nápoles Valdés   +2 more
doaj   +1 more source

The Strong Convex Functions and Related Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory.
Xue Wang, Absar ul Haq, Muhammad Shoaib Saleem, Sami Ullah Zakir, Mohsan Raza   +4 more
wiley   +1 more source

Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]

, 2005
Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core   +6 more sources

Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou, Muhammad Shoaib Saleem, Nimra Anwar, Haiping Gao, Xiaolong Qin   +4 more
wiley   +1 more source

New Inequalities of Hermite-Hadamard Type for Functions Whose Second Derivatives Absolute Values are Quasi-Convex [PDF]

, 2009
In this note we obtain some inequalities of Hermite-Hadamard type for functions whose second derivatives have quasi-convex absolute values.
Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +2 more
core   +7 more sources

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

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

Inequalities for Products of Two Kinds of Convexities and Consequent Results

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman, Hala H. Taha, Waqas Nazeer, Jongsuk Ro, Smritijit Sen   +4 more
wiley   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source