article · The Saudi Journal of Applied Sciences and Technology
Throughout the manuscript, we present new generalized dynamic inequalities of Hölder and Minkowski-type within the framework of delta calculus. These generalized inequalities are highly valuable and are widely recognized as an essential tool in establishing several classical results, such as Hardy and Hilbert-type inequalities. When T = N, our results give the discrete analogues proved by Kirmaci [13]. Conversely, in the continuous and quantum calculi, where T = R and T = βNo for β > 1, respectively, the inequalities obtained are fundamentally new and of interest to the reader. Also, we present the remarks, corollaries, and some numerical examples to verify the validity of our results
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DOI: 10.63908/0e3ma464
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