AIMS Mathematics

2020, Issue 5: 4781-4792. doi: 10.3934/math.2020306
Research article

Derivation of bounds of integral operators via convex functions

• Received: 01 December 2019 Accepted: 25 May 2020 Published: 02 June 2020
• MSC : 26A33, 26D10, 31A10

• Convex functions play a vital role in the derivation of inequalities. In this paper these functions are used to obtain certain bounds of a unified integral operator. A Hadamard inequality for these operators is established. Further bounds of several kinds of fractional and conformable integral operators are deduced in particular.

Citation: Xinghua You, Ghulam Farid, Lakshmi Narayan Mishra, Kahkashan Mahreen, Saleem Ullah. Derivation of bounds of integral operators via convex functions[J]. AIMS Mathematics, 2020, 5(5): 4781-4792. doi: 10.3934/math.2020306

Related Papers:

• Convex functions play a vital role in the derivation of inequalities. In this paper these functions are used to obtain certain bounds of a unified integral operator. A Hadamard inequality for these operators is established. Further bounds of several kinds of fractional and conformable integral operators are deduced in particular.

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