On a unified integral operator for φ-convex functions

On a unified integral operator for<i>φ</i>-convex functions
  • Kwun, Young Chel; 
  • Zahra, Moquddsa; 
  • Farid, Ghulam; 
  • Zainab, Saira; 
  • Kang, Shin Min
Citations

WEB OF SCIENCE

4
Citations

SCOPUS

5

초록

Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use phi-convex functions for unified integral operators to obtain their upper bounds and upper and lower bounds for symmetric phi-convex functions in the form of a Hadamard inequality. Also, for phi-convex functions, we obtain bounds of different known fractional and conformable fractional integrals. The results of this paper are applicable to convex functions.

키워드

Convex function; phi-convex function; Integral operators; Fractional integrals; Conformable fractional integrals; Bounds; HERMITE-HADAMARD; INEQUALITIES
제목
On a unified integral operator for φ-convex functions
제목 (타언어)
On a unified integral operator for<i>φ</i>-convex functions
저자
Kwun, Young Chel; Zahra, Moquddsa; Farid, Ghulam; Zainab, Saira; Kang, Shin Min
DOI
10.1186/s13662-020-02761-3
발행일
2020-06
유형
Article
저널명
Advances in Difference Equations
권
2020
호
1