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

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University

A chapter in Exploring Mathematical Analysis, Approximation Theory, and Optimization, 2023, pp 45-66 from Springer

Abstract: 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.

Keywords: Riemann-Liouville fractional integrals; Functions of bounded variation; Lipshitzian functions; Ostrowski type inequalities; Trapezoid inequalities; 26D15; 26D10; 26D07; 26A33 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-46487-4_4

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DOI: 10.1007/978-3-031-46487-4_4

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