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

Silvestru Sever Dragomir

Silvestru Sever Dragomir

Mathematics, College of Engineering & Science Victoria University, DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the WitwatersrandMelbourne City,
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Dragomir, Silvestru Sever
  
Jul 16, 2020
Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation's Cover Image
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Published Online: Jul 16, 2020
Page range: 30 - 53
Received: Oct 02, 2019
DOI: https://doi.org/10.2478/ausm-2020-0003
Keywords
© 2020 Silvestru Sever Dragomir, published by Sciendo
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 continuous functions. Applications for the g-mean of two numbers are provided as well. Some particular cases for Hadamard fractional integrals are also provided.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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