Generalized Diamond-Alpha Dynamic Opial Inequalities

Nuriye Atasever; Billûr Kaymakçalan; Goran Lešaja; Kenan Taş

doi:10.1186/1687-1847-2012-109

Generalized Diamond-Alpha Dynamic Opial Inequalities

Nuriye Atasever, Billûr Kaymakçalan, Goran Lešaja, Kenan Taş

Mathematical Sciences

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

13 Scopus citations

Abstract

We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.

Original language	American English
Journal	Advances in Difference Equations
Volume	109
DOIs	https://doi.org/10.1186/1687-1847-2012-109
State	Published - Jul 1 2012

Keywords

Diamond Alpha derivatives
Diamond Alpha integrals
Time scales

DC Disciplines

Education
Mathematics

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title = "Generalized Diamond-Alpha Dynamic Opial Inequalities",

abstract = "We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.",

keywords = "Diamond Alpha derivatives, Diamond Alpha integrals, Time scales",

author = "Nuriye Atasever and Bill{\^u}r Kaymak{\c c}alan and Goran Le{\v s}aja and Kenan Ta{\c s}",

year = "2012",

month = jul,

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doi = "10.1186/1687-1847-2012-109",

language = "American English",

volume = "109",

journal = "Advances in Difference Equations",

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TY - JOUR

T1 - Generalized Diamond-Alpha Dynamic Opial Inequalities

AU - Atasever, Nuriye

AU - Kaymakçalan, Billûr

AU - Lešaja, Goran

AU - Taş, Kenan

PY - 2012/7/1

Y1 - 2012/7/1

N2 - We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.

AB - We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result.

KW - Diamond Alpha derivatives

KW - Diamond Alpha integrals

KW - Time scales

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/70

U2 - 10.1186/1687-1847-2012-109

DO - 10.1186/1687-1847-2012-109

M3 - Article

SN - 1687-1839

VL - 109

JO - Advances in Difference Equations

JF - Advances in Difference Equations

ER -

Generalized Diamond-Alpha Dynamic Opial Inequalities

Abstract

Keywords

DC Disciplines

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