New fractional identities, associated novel fractional inequalities with applications to means and error estimations for quadrature formulas

Autor:	Muhammad Uzair Awan, Artion Kashuri, Kottakkaran Sooppy Nisar, Muhammad Zakria Javed, Sabah Iftikhar, Poom Kumam, Parin Chaipunya
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Trapezium inequality Harmonic convex function Riemann–Liouville fractional integrals Hölder inequality Power mean inequality Special means Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-34 (2022)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-021-02732-6
Popis:	Abstract In this paper, the authors derive some new generalizations of fractional trapezium-like inequalities using the class of harmonic convex functions. Moreover, three new fractional integral identities are given, and on using them as auxiliary results some interesting integral inequalities are found. Finally, in order to show the efficiency of our main results, some applications to special means for different positive real numbers and error estimations for quadrature formulas are obtained.
Databáze:	Directory of Open Access Journals
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