Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity. By using convexity and conditions of unified integral operators, bounds of these opera...

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Published inIEEE access Vol. 7; pp. 126283 - 126292
Main Authors Kwun, Young Chel, Farid, Ghulam, Ullah, Saleem, Nazeer, Waqas, Mahreen, Kahkashan, Kang, Shin Min
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
conformable integral operator
Convex function
Convex functions
Convexity
Education
Fractional calculus
fractional integral operator
Functional analysis
Integral equations
integral operator
Integrals
Mathematical analysis
Mittag-Leffler function
Operators (mathematics)
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Abstract Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity. By using convexity and conditions of unified integral operators, bounds of these operators are obtained. Furthermore consequences of these results are discussed for fractional and conformable integral operators.
AbstractList Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity. By using convexity and conditions of unified integral operators, bounds of these operators are obtained. Furthermore consequences of these results are discussed for fractional and conformable integral operators.
Author Kwun, Young Chel
Ullah, Saleem
Farid, Ghulam
Mahreen, Kahkashan
Kang, Shin Min
Nazeer, Waqas
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  givenname: Shin Min
  surname: Kang
  fullname: Kang, Shin Min
  email: smkang@gnu.ac.kr
  organization: Department of Mathematics, Gyeongsang National University, Jinju, South Korea
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SubjectTerms conformable integral operator
Convex function
Convex functions
Convexity
Education
Fractional calculus
fractional integral operator
Functional analysis
Integral equations
integral operator
Integrals
Mathematical analysis
Mittag-Leffler function
Operators (mathematics)
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Title Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
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