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Nabla Discrete Fractional Gruss Type Inequality

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Date

2014

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Publisher

Springeropen

Open Access Color

GOLD

Green Open Access

Yes

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No
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Abstract

Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Gruss type inequality for the nabla fractional case. An example of our main result is given.

Description

Tas, Kenan/0000-0001-8173-453X

Keywords

Nabla Discrete Fractional Calculus, Nabla Discrete Gruss Inequality, Fractional Differential Equations, nabla discrete fractional calculus, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, 510, Fractional Integrals, Nabla symbol, FOS: Mathematics, Discrete Mathematics and Combinatorics, Biology, Anomalous Diffusion Modeling and Analysis, nabla discrete Gruss inequality, Omega, Ecology, Applied Mathematics, Physics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, nabla discrete Grüss inequality, Fractional Derivatives, Inequality, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, nabladiscretefractionalcalculus;nabladiscreteGrüssinequality, Medicine, Fractional Calculus, Calculus (dental), Type (biology), Analysis, Mathematics, Fractional derivatives and integrals, nabla discrete Grüss inequality, Other analytical inequalities, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Inequalities for sums, series and integrals, Discrete version of topics in analysis

Fields of Science

01 natural sciences, 0101 mathematics

Citation

Güvenilir, A.F...et al. (2014). Nabla discrete fractional Gruss type inequality. Journal Of Inequalities Applications. http://dx.doi.org/10.1186/1029-242X-2014-86

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OpenCitations Citation Count
2

Source

Journal of Inequalities and Applications

Volume

2014

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CrossRef : 2

Scopus : 3

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Mendeley Readers : 3

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