Some inequalities via fractional conformable integral operators

Kottakkaran Sooppy Nisar; Asifa Tassaddiq; Gauhar Rahman; Aftab Khan

doi:10.1186/s13660-019-2170-z

Some inequalities via fractional conformable integral operators

Kottakkaran Sooppy Nisar, Asifa Tassaddiq, Gauhar Rahman, Aftab Khan

Mathematics

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by Dahmani and Bougoffa cited in the literature.

Original language	English
Article number	217
Journal	Journal of Inequalities and Applications
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13660-019-2170-z
State	Published - 1 Dec 2019

Keywords

Concave function
Fractional conformable integral
Gamma function
Hermite–Hadamard type inequalities
Minkowski inequalities
Riemann–Liouville fractional integral

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10.1186/s13660-019-2170-z

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title = "Some inequalities via fractional conformable integral operators",

abstract = "In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by Dahmani and Bougoffa cited in the literature.",

keywords = "Concave function, Fractional conformable integral, Gamma function, Hermite–Hadamard type inequalities, Minkowski inequalities, Riemann–Liouville fractional integral",

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AU - Nisar, Kottakkaran Sooppy

AU - Tassaddiq, Asifa

AU - Rahman, Gauhar

AU - Khan, Aftab

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by Dahmani and Bougoffa cited in the literature.

AB - In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by Dahmani and Bougoffa cited in the literature.

KW - Concave function

KW - Fractional conformable integral

KW - Gamma function

KW - Hermite–Hadamard type inequalities

KW - Minkowski inequalities

KW - Riemann–Liouville fractional integral

UR - https://www.scopus.com/pages/publications/85070839733

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DO - 10.1186/s13660-019-2170-z

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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Some inequalities via fractional conformable integral operators

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Keywords

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