Browsing Matematik Bölümü by Subject "Time Scale Calculus"

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On the complementary nabla Pachpatte type dynamic inequalities via convexity

Kayar, Zeynep; Kaymakçalan, Billur (2024-01)

Pachpatte type inequalities are convex generalizations of the well-known Hardy-Copson type inequalities. As Hardy-Copson type inequalities and convexity have numerous applications in pure and applied mathematics, combining ...
Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory

Kayar, Zeynep; Kaymakçalan, Billur (2022-10)

We extend classical nabla and delta Hardy-Copson type inequalities from zeta > 1 to 0 < zeta < 1 and also use these novel inequalities to find necessary and sufficient condition for the nonoscillation of the related half ...
The complementary nabla Bennett-Leindler type inequalities

Kayar, Zeynep; Kaymakçalan, Billur (2022-06-30)

We aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale calculus by changing the exponent from 0 < ζ < 1 to ζ > 1. Different from the literature, the directions of the new ...

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