On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals

By Saima Rashid, Fahd Jarad, Humaira Kalsoom, Y. Chu. Advances in Differential Equations, 2020

49 citations recorded by the source corpus.

In this paper, we introduce the generalized k-fractional integral in terms of a new parameter k>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$k>0$\end{document}, present some new important inequalities of Pólya–Szegö and Čebyšev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/7413ab2d50f7ba0f8b63b213fbec32949f2ff23b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Modeling and Simulation

Citations in the corpus

New Hermite-Hadamard type inequalities for exponentially convex functions and applications (2020, background): “This subject has received considerable attention from researchers [35–38] and hence it is assumed as an incorporative the subject between mathematics, statistics, economics, and physics [39-41].”