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Browsing by Author "Askar, Sameh S."

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    Citation - WoS: 9
    Citation - Scopus: 8
    A variety of dynamic α-conformable Steffensen-type inequality on a time scale measure space
    (Amer inst Mathematical Sciences-aims, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Moaaz, Osama; Baleanu, Dumitru; Askar, Sameh S.; 56389
    The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take alpha = 1. Some cases we get continuous inequalities when T = R and discrete inequalities when T = Z.
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    Citation - WoS: 0
    Citation - Scopus: 1
    Bennett-Leindler nabla type inequalities via conformable fractional derivatives on time scales
    (Amer inst Mathematical Sciences-aims, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Makharesh, Samer D.; Askar, Sameh S.; Baleanu, Dumitru; 56389
    In this work, we prove several new (gamma, a)-nabla Bennett and Leindler dynamic inequalities on time scales. The results proved here generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using integration by parts, chain rule and Holder inequality for the (gamma, a)-nabla-fractional derivative on time scales.
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    Citation - WoS: 2
    Citation - Scopus: 1
    Diamond Alpha Hilbert-Type Inequalities on Time Scales
    (Mdpi, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Baleanu, Dumitru; Askar, Sameh S.; Cesarano, Clemente; Abdeldaim, Ahmed; 56389
    In this article, we will prove some new diamond alpha Hilbert-type dynamic inequalities on time scales which are defined as a linear combination of the nabla and delta integrals. These inequalities extend some known dynamic inequalities on time scales, and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proven by using some algebraic inequalities, diamond alpha Holder inequality, and diamond alpha Jensen's inequality on time scales.