Derivation of bounds of several kinds of operators via (s,m)-convexity

  • Kwun, Young Chel; 
  • Farid, Ghulam; 
  • Kang, Shin Min; 
  • Bangash, Babar Khan; 
  • Ullah, Saleem
Citations

WEB OF SCIENCE

4
Citations

SCOPUS

10

초록

The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m)-convex functions in a unified form. Further, the upper and lower bounds of these operators are obtained in the form of a Hadamard inequality, and their various fractional versions are presented. Some connections with already known results are obtained.

키워드

s; m-Convex function; Integral operators; Fractional integral operators; Conformable integral operators; INEQUALITIES
제목
Derivation of bounds of several kinds of operators via (s,m)-convexity
저자
Kwun, Young Chel; Farid, Ghulam; Kang, Shin Min; Bangash, Babar Khan; Ullah, Saleem
DOI
10.1186/s13662-019-2470-0
발행일
2020-01
유형
Article
저널명
Advances in Difference Equations
권
2020
호
1