Ostrowski-type inequalities for \(n\)-polynomial \(\mathscr{P} \)-convex function for \(k\)-fractional Hilfer-Katugampola derivative

DOI10.1186/s13660-021-02657-0zbMath1504.26028OpenAlexW3179679355MaRDI QIDQ2072896

Samaira Naz, Yu-Ming Chu, Muhammad Nawaz Naeem

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02657-0

zbMATH Keywords

convex functionOstrowski inequalityHermite-Hadamard inequalitygeneralized \(k\)-fractional Hilfer-Katugampola derivativegeneralized \(k\)-Riemann-Liouville fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (2)

Some Ostrowski type inequalities via \(n\)-polynomial exponentially \(s\)-convex functions and their applications ⋮ A new weighted fractional operator with respect to another function via a new modified generalized Mittag-Leffler law

Cites Work

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