On Generalized Absolute Cesàro Summablity Factors

A note on generalized absolute Cesàro summability

In this paper, a known theorem dealing with | C, 1 |k summability methods has been generalized under weaker conditions for | C, α, β ; δ |k summability methods. Some new results have also been obtained. AMS subject classifications: 40D15, 40F05, 40G99

On Absolute Cesàro Summability

On the Approximate Properties of Generalized Cesàro Means of Conjugate Trigonometric Fourier Series

The behavior of generalized Cesàro (C, αn)-means (αn ∈ (−1, 0), n = 1, 2, . . . ) of conjugate trigonometric Fourier series of H classes in the space of continuous functions is studied. 2000 Mathematics Subject Classification: 42A50.

Two-weight Norm Inequalities for the Cesàro Means of Generalized Hermite Expansions

We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained.

A New Factor Theorem for Generalized Cesàro Summability

In [6], we proved a theorem dealing with an application of quasi-f-power increasing sequences. In this paper, we prove that theorem under less and weaker conditions. This theorem also includes several new results.