Unified treatment of fractional integral inequalities via linear\n functionals

2016/11/30 by Mea Bombardelli, Bombardelli, Mea, Ludmila Nikolova +3
Mathematics · #26D20 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1612.00072

openalex publication_date 2016/11/30 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In the paper we prove several inequalities involving two isotonic linear\nfunctionals. We consider inequalities for functions with variable bounds, for\nLipschitz and H " older type functions etc. These results give us an elegant\nmethod for obtaining a number of inequalities for various kinds of fractional\nintegral operators such as for the Riemann-Liouville fractional integral\noperator, the Hadamard fractional integral operator, fractional hyperqeometric\nintegral and corresponding q-integrals.\n

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