Some new inequalities for (k, s)-fractional integrals

M. Aldhaifallah; M. Tomar; K. S. Nisar; S. D. Purohit

doi:10.22436/jnsa.009.09.06

Some new inequalities for (k, s)-fractional integrals

M. Aldhaifallah, M. Tomar, K. S. Nisar, S. D. Purohit

Mathematics

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

30 Scopus citations

Abstract

In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N). Two classes of integral inequalities involving the (k, s)-fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.

Original language	English
Pages (from-to)	5374-5381
Number of pages	8
Journal	Journal of Nonlinear Science and Applications
Volume	9
Issue number	9
DOIs	https://doi.org/10.22436/jnsa.009.09.06
State	Published - 2016

Keywords

(k, s)-fractional integrals
Fractional integral inequalities
Integral inequalities

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10.22436/jnsa.009.09.06

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abstract = "In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N). Two classes of integral inequalities involving the (k, s)-fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.",

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AU - Nisar, K. S.

AU - Purohit, S. D.

PY - 2016

Y1 - 2016

N2 - In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N). Two classes of integral inequalities involving the (k, s)-fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.

AB - In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N). Two classes of integral inequalities involving the (k, s)-fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.

KW - (k, s)-fractional integrals

KW - Fractional integral inequalities

KW - Integral inequalities

UR - https://www.scopus.com/pages/publications/84994106007

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DO - 10.22436/jnsa.009.09.06

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JO - Journal of Nonlinear Science and Applications

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ER -

Some new inequalities for (k, s)-fractional integrals

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Keywords

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