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Browsing by Author "Cesarano, Clemente"

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    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.
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    On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales
    (Mdpi, 2022) El-Owaidy, Hassan M.; Baleanu, Dumitru; El-Deeb, Ahmed A.; Makharesh, Samer D.; Baleanu, Dumitru; Cesarano, Clemente; 56389
    In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Holder inequality, and Jensen's inequality on time scales.
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    On Some Important Dynamic Inequalities of Hardy-Hilbert on Timescales
    (Mdpi, 2022) Baleanu, Dumitru; Baleanu, Dumitru; Cesarano, Clemente; Abdeldaim, Ahmed
    In this article, by using some algebraic inequalities, nabla Holder inequalities, and nabla Jensen's inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on timescales and unify some continuous inequalities and their corresponding discrete analogues. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.