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A new factor theorem on absolute matrix summability method

Yıldız Şebnem

Journal of Applied Analysis

2022

Vol. 28, nr 1

83--89

In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences. That theorem also includes some new and known results dealing with some basic summability methods.

Analogy of classical and dynamic inequalities merging on time scales

Sahir Muhammad Jibril Shahab

Journal of Mathematics and Applications

2020

Vol. 43

139--152

In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s inequality and Hölder’s inequality. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues.