Research article

Bounds of a unified integral operator for (s,m)-convex functions and their consequences

  • Received: 25 January 2020 Accepted: 18 June 2020 Published: 28 June 2020
  • MSC : 26D10, 31A10, 26A33

  • The unified integral operator presented in Definition 4 produces several kinds of known fractional and conformable integral operators. The goal of this paper is to obtain bounds of this unified integral operator by using the definition of (s, m)-convexity. The resulting inequalities in specific cases represent the bounds of many known fractional and conformable fractional integral operators in a compact form.

    Citation: Zitong He, Xiaolin Ma, Ghulam Farid, Absar Ul Haq, Kahkashan Mahreen. Bounds of a unified integral operator for (s,m)-convex functions and their consequences[J]. AIMS Mathematics, 2020, 5(6): 5510-5520. doi: 10.3934/math.2020353

    Related Papers:

  • The unified integral operator presented in Definition 4 produces several kinds of known fractional and conformable integral operators. The goal of this paper is to obtain bounds of this unified integral operator by using the definition of (s, m)-convexity. The resulting inequalities in specific cases represent the bounds of many known fractional and conformable fractional integral operators in a compact form.


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