Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation

Dragomir, Silvestru

Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation

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Dragomir, Silvestru ORCID: https://orcid.org/0000-0003-2902-6805 (2023) Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation. In: Exploring mathematical analysis, approximation theory, and optimization. Springer Optimization and Its Applications, 207 . Springer International Publishing, Cham, Switzerland, pp. 45-66.

Abstract

In this chapter we establish some Ostrowski and generalized trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Lipschitzian functions. Applications for mid-point and trapezoid inequalities are provided as well. They generalize the know results holding for the classical Riemann integral.

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Item type	Book Section
URI	https://vuir.vu.edu.au/id/eprint/48012
Edition	1st
DOI	10.1007/978-3-031-46487-4_4
Official URL	http://dx.doi.org/10.1007/978-3-031-46487-4_4
ISBN	9783031464867
Subjects	Current > FOR (2020) Classification > 4904 Pure mathematics Current > Division/Research > College of Science and Engineering
Keywords	Ostrowski type inequalities, functions of bounded variation, Riemann integral
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