On innovations of the multivariable fractional Hardy-type inequalities on time scales

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Akın L., Zeren Y.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, vol.41, no.2, pp.415-422, 2023 (ESCI)

• Publication Type: Article / Article
• Volume: 41 Issue: 2
• Publication Date: 2023
• Doi Number: 10.14744/sigma.2023.00044
• Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
• Journal Indexes: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
• Page Numbers: pp.415-422
• Yıldız Technical University Affiliated: Yes

Abstract

Fractional integral-type inequalities, dynamic equations, integral operators and variable exponents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.