Hermite-Hadamard type inequalities for functions whose $n^{th}$ order of derivatives are $s$-convex in the second sense

Meftah, Badreddine ^[1] ; Merad, Meriem ^[2]
1. [1] Laboratoire des télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
2. [2] Département des Mathématiques, Faculté des mathématiques, de l'informatique et des sciences de la matière, Université 8 mai 1945 Guelma, Algeria.
Localización: MATUA: Revista de matemática de la universidad del Atlántico, ISSN-e 2389-7422, Vol. 4, Nº. 2, 2017 (Ejemplar dedicado a: Revista MATUA), págs. 87-99
Idioma: inglés
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Resumen
- In this paper, we establish some Hermite-Hadamard type inequalities forfunctions whose $n^{th}$ dirivatives are $s$-convex in the second sense.Several known results are derived . Applications to special means are alsogiven.