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A class of statistical and $σ$ -conservative matrices

Hüsamettin Çoşkun, Celal Çakan (2005)

Czechoslovak Mathematical Journal

In [5] and [10], statistical-conservative and $σ$ -conservative matrices were characterized. In this note we have determined a class of statistical and $σ$ -conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.

A comparison theorem for weighted mean and Cesàro methods

Billy E. Rhoades (1996)

Mathematica Slovaca

A general theorem on Nörlund summability of Fourier series with applications

Mishra, K.N., Srivastava, R.S.L. (1983/1984)

Portugaliae mathematica

A generalization theorem covering many absolute summability methods.

Sulaiman, W.T. (2001)

International Journal of Mathematics and Mathematical Sciences

A Mercerian Theorem for Nörlund Means.

P. Szüsz, K. Klee (1973)

Monatshefte für Mathematik

A new criterion for the absolute Riesz summability of the conjugate series of a Fourier series

P. Chandra (1972)

Matematički Vesnik

A new proof of multisummability of formal solutions of non linear meromorphic differential equations

Jean-Pierre Ramis, Yasutaka Sibuya (1994)

Annales de l'institut Fourier

We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equation $x \frac{d \vec{y}}{d x} = {\vec{G}}_{0} (x) + [λ (x) + A_{0}] \vec{y} + x^{μ} \vec{G} (x, \vec{y}),$ the idea of our proof is to interpret a formal power series solution...

In this paper we have proved a main theorem concerning the | $\bar{N}$ , p n; δ |k summability methods, which generalizes a result of Bor and Özarslan [3].

A note on Fourier coefficients

B. N. Varma (1969)

Rendiconti del Seminario Matematico della Università di Padova

A note on summability factors.

Mazhar, S.M. (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A note on the absolute Riesz summability factors.

Leindler, L. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A Note on the Family F (a, q) of Summability Methods.

V. Swaminathan (1974)

Mathematische Zeitschrift

A note on the $[τ, f (x)]$ means

V. Swaminathan (1979)

Matematički Vesnik

A probabilistic description of the three theorems of Hardy.

Goonatilake, Rohitha (2002)

Southwest Journal of Pure and Applied Mathematics [electronic only]

A Saalschutzian theorem for triple series

L. K. Bhagchandani, K. N. Mehra (1969)

Commentationes Mathematicae Universitatis Carolinae

A short proof of a result of Kogbetliantz on the positivity of certain Cesàro means.

M. Reimer (1996)