(γ,a)-Nabla Reverse Hardy-Hilbert Inequalities on Time Scales

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Abstract

In this article, using a (gamma,a)-nabla conformable integral on time scales, we study several novel Hilbert-type dynamic inequalities via nabla time scales calculus. Our results generalize various inequalities on time scales, unifying and extending several discrete inequalities and their corresponding continuous analogues. We say that symmetry plays an essential role in determining the correct methods with which to solve dynamic inequalities.

Description

Eldeeb, Ahmed/0000-0003-2822-4092

Keywords

Holder Inequality, Jensen Inequality, Time Scales, Nabla Calculus, Hölder inequality; Jensen inequality; time scales; nabla calculus

Fields of Science

0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

El-Deeb, Ahmed A.; Baleanu, Dumitru; Awrejcewicz, Jan (2022). "(γ,a)-Nabla Reverse Hardy–Hilbert-Type Inequalities on Time Scales", Symmetry, Vol.14, No.8.

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14

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8

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1714

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