New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications

Autor: Muhammad Amer Latif, Sever S. Dragomir, Ebrahim Momoniat
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: International Journal of Analysis and Applications, Vol 13, Iss 2, Pp 119-131 (2017)
Druh dokumentu: article
ISSN: 2291-8639
Popis: In this paper, some new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are s-convex functions. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute value are s-convex functions as special cases. Our results may provide refinements of some results already exist in literature. Applications to trapezoidal rule and to special means of established results are given.
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