Browsing by Author "Pelen, N.N."

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    Generalized Diamond Alpha Bennett-Leindler Dynamic Inequalities
    (De Gruyter, 2023) Kayar, Z.; Kaymakçalan, B.; Pelen, N.N.
    The dual results; delta and nabla inequalities and their special cases; continuous and discrete inequalities are unified into diamond alpha case and new forms of such results as well as new diamond alpha Bennett-Leindler-type dynamic inequalities are established by developing a novel method, which does not require the Integration by Parts Formula and the Fundamental Theorem of Calculus. These theorems are standard arguments in the proofs of Bennett-Leindler-type dynamic inequalities in the delta and nabla approaches but do not follow naturally in the diamond alpha calculus. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.