<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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-<italic>mean of two numbers</italic> are provided as well. Some particular cases for Hadamard fractional integrals are also provided.</p></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.

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

Mathematics, College of Engineering & Science Victoria University

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder...

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

Published Online: Jul 16, 2020

Page range: 30 - 53

Received: Oct 02, 2019

DOI: https://doi.org/10.2478/ausm-2020-0003

Keywords
Riemann-Liouville fractional integrals, functions of bounded variation, Lipshitzian functions, trapezoid type inequalities

© 2020 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 16, 2020

Page range: 30 - 53

Received: Oct 02, 2019

DOI: https://doi.org/10.2478/ausm-2020-0003

KeywordsRiemann-Liouville fractional integrals, functions of bounded variation, Lipshitzian functions, trapezoid type inequalities

© 2020 Silvestru Sever Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Riemann-Liouville fractional integrals, functions of bounded variation, Lipshitzian functions, trapezoid type inequalities