Ostrowski and Trapezoid Type Inequalities for the Generalized k-g-Fractional Integrals of Functions with Bounded Variation

Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2019) Ostrowski and Trapezoid Type Inequalities for the Generalized k-g-Fractional Integrals of Functions with Bounded Variation. Communications in Advanced Mathematical Sciences, 2 (4). pp. 309-330. ISSN 2651-4001

Abstract

In this paper we establish some Ostrowski and trapezoid type inequalities for the k-g-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well. Some examples for a general exponential fractional integral are also given.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/48011
DOI 10.33434/cams.628097
Official URL http://dx.doi.org/10.33434/cams.628097
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords continuous derivative, Lebesgue integrable function, Riemann-Liouville fractional integrals, logarithmic function
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