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. © 2020 the Author(s), licensee AIMS Press.

Lakshmi Narayan Mishra

Department of Mathematics

School of Advanced Sciences

Vellore Campus

X. You

G. Farid

K. Mahreen

S. Ullah

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

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VIT University

AIMS Mathematics

Derivation of bounds of integral operators via convex functions

Journal	AIMS Mathematics
Publisher	American Institute of Mathematical Sciences
ISSN	24736988