Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m,h1,h2)−Convex.

Vivas Cortez Miguel; Garcla Carlos; Eliecer Herndndez Jorge

doi:10.18576/amis/130303

Ostrowski-Type Inequalities for Functions Whose Derivative Modulus is Relatively (m,h1,h2)−Convex.

Vivas Cortez Miguel^*, Garcla Carlos, Eliecer Herndndez Jorge

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

Abstract: We have found some new Ostrowski-type inequalities for functions whose derivative module is relatively (m,h1,h2)−convex. From the main results some corollaries refereeing to relative convexity, relative P−convexity, relative m−convexity, relative s−convexity in the second sense and relative (s,m)−convexity are deduced. Also some inequalities of Hermite- Hadamard type are obtained.

Idioma original	Inglés
Páginas (desde-hasta)	369-378
Número de páginas	10
Publicación	Applied Mathematics and Information Sciences
Volumen	13
N.º	3
DOI	https://doi.org/10.18576/amis/130303
Estado	Publicada - 1 may. 2019
Publicado de forma externa	Sí

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Publisher Copyright:
2019 NSP Natural Sciences Publishing Cor.

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Financiadores
Universidad Centroccidental Lisandro Alvarado

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10.18576/amis/130303

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AU - Carlos, Garcla

AU - Jorge, Eliecer Herndndez

N1 - Publisher Copyright: 2019 NSP Natural Sciences Publishing Cor.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - Abstract: We have found some new Ostrowski-type inequalities for functions whose derivative module is relatively (m,h1,h2)−convex. From the main results some corollaries refereeing to relative convexity, relative P−convexity, relative m−convexity, relative s−convexity in the second sense and relative (s,m)−convexity are deduced. Also some inequalities of Hermite- Hadamard type are obtained.

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KW - Ostrowski type inequalities

KW - Relative (m,h1,h2)−convexity

KW - Relative convexity

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