Some New Fractional Integral Inequalities Pertaining to Generalized Fractional Integral Operator

Autor:	Omar Mutab Alsalami, Soubhagya Kumar Sahoo, Muhammad Tariq, Asif Ali Shaikh, Clemente Cesarano, Kamsing Nonlaopon
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Grüss-type inequalities Chebyshev-type inequalities non-conformable fractional operator Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 8, p 1691 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14081691
Popis:	Integral inequalities make up a comprehensive and prolific field of research within the field of mathematical interpretations. Integral inequalities in association with convexity have a strong relationship with symmetry. Different disciplines of mathematics and applied sciences have taken a new path as a result of the development of new fractional operators. Different new fractional operators have been used to improve some mathematical inequalities and to bring new ideas in recent years. To take steps forward, we prove various Grüss-type and Chebyshev-type inequalities for integrable functions in the frame of non-conformable fractional integral operators. The key results are proven using definitions of the fractional integrals, well-known classical inequalities, and classical relations.
Databáze:	Directory of Open Access Journals
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