Ostrowski and Trapezoid Type Inequalities for Riemann-Liouville Fractional Integrals of Functions with Bounded Variation
Dragomir, Silvestru ORCID: 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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