Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 15; no. 1; pp. 1414 - 1430
Main Authors Khan, Muhammad Adil, Chu, Yuming, Khan, Tahir Ullah, Khan, Jamroz
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Open 09.12.2017
De Gruyter Poland
De Gruyter
Subjects
26A51
26D15
26D20
convex function
Fractional calculus
Hermite-Hadamard inequality
Hölder inequality
Inequalities
s-convex function
Trapezoidal formula
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Summary:In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0121