Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation-Reference-Cited by-同舟云学术

Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation

Published:2020-07-01 Issue:1 Volume:12 Page:30-53
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Dragomir Silvestru Sever¹

Affiliation:

1. Mathematics, College of Engineering & Science Victoria University , PO Box 14428 Melbourne City , MC 8001 , Australia ; DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics , University of the Witwatersrand , Private Bag 3, Johannesburg 2050 , South Africa

Abstract

Abstract In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well. Some particular cases for Hadamard fractional integrals are also provided.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2020-0003

Reference27 articles.

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