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

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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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2017-12, Vol.15 (1), p.1414-1430
Hauptverfasser: Khan, Muhammad Adil, Chu, Yuming, Khan, Tahir Ullah, Khan, Jamroz
Format: Artikel
Sprache:eng
Schlagworte:
26A51
26D15
26D20
convex function
Fractional calculus
Hermite-Hadamard inequality
Hölder inequality
Inequalities
s-convex function
Trapezoidal formula
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Zusammenfassung: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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0121