Derivation of Bounds of an Integral Operator via Exponentially Convex Functions

Hong Ye, Ghulam Farid, Babar Khan Bangash, Lulu Cai and Serkan Araci

Journal of Mathematics, 2020, vol. 2020, 1-9

Abstract: In this paper, bounds of fractional and conformable integral operators are established in a compact form. By using exponentially convex functions, certain bounds of these operators are derived and further used to prove their boundedness and continuity. A modulus inequality is established for a differentiable function whose derivative in absolute value is exponentially convex. Upper and lower bounds of these operators are obtained in the form of a Hadamard inequality. Some particular cases of main results are also studied.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2456463

DOI: 10.1155/2020/2456463

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