BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS

DOI10.5831/HMJ.2020.42.2.359zbMath1448.26014OpenAlexW3107553129MaRDI QIDQ5125024

Ghulam Farid, Babar Khan Bangash, Lakshmi Narayan Mishira

Publication date: 30 September 2020

Full work available at URL: http://koreascience.or.kr:80/article/JAKO202018853212848.pdf

zbMATH Keywords

convex functionfractional integral operatorsconformable integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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)

Related Items (2)

Derivation of bounds of several kinds of operators via \((s,m)\)-convexity ⋮ Derivation of bounds of an integral operator via exponentially convex functions

Cites Work

• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Generalized Hermite-Hadamard type integral inequalities
• Generalized conformable fractional operators
• On a new class of fractional operators
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Some Riemann-Liouville fractional integral inequalities for convex functions
• (k,s)-Riemann-Liouville fractional integral and applications
• Study of a generalized Riemann-Liouville fractional integral via convex functions
• Estimations of Riemann–Liouville k-fractional integrals via convex functions
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