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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	369-378
Number of pages	10
Journal	Applied Mathematics and Information Sciences
Volume	13
Issue number	3
DOIs	https://doi.org/10.18576/amis/130303
State	Published - 1 May 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
2019 NSP Natural Sciences Publishing Cor.

Funding

The first author acknowledges the technical support of Direcci ´on de Investigaci ´on of Pontificia Universidad Cat ´olica del Ecuador and similarly the second and third author acknowledges to Consejo de Desarrollo Cient´ıfico, Human´ıstico y Tecnol ´ogico (CDCHT) from Universidad Centroccidental Lisandro Alvarado (Venezuela). The authors are grateful to the anonymous referee for a careful checking of the details and for helpful comments that improved this paper.

Funders	Funder number
Universidad Centroccidental Lisandro Alvarado

Keywords

Ostrowski type inequalities
Relative (m,h1,h2)−convexity
Relative convexity

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10.18576/amis/130303

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abstract = "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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AU - Carlos, Garcla

AU - Jorge, Eliecer Herndndez

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.

AB - 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.

KW - Ostrowski type inequalities

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KW - Relative convexity

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ER -

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

Abstract

Bibliographical note

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Keywords

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