Results 21 to 30 of about 132 (64)
ON MEANS OF BANACH-SPACE-VALUED FUNCTIONS [PDF]
We continue to study relations among exponential and polynomial growth orders of the γ-th order Cesàro means (γ≥0) and of the Abel mean for a Banach-space-valued function u on the interval [0,∞).
Sato, Ryotaro
core +1 more source
Matrix transformations of starshaped sequences
We deal with matrix transformations preserving the starshape of sequences. The main result gives the necessary and sufficient conditions for a lower triangular matrix A to preserve the starshape of sequences. Also, we discuss the nature of the mappings of starshaped sequences by some classical matrices.
Chikkanna R. Selvaraj, Suguna Selvaraj
wiley +1 more source
Riesz Triple Fuzzy Ideal of Almost Lacunary Cesàro C111 statistical convergence of χ 3 defined by a Musielak Orlicz function [PDF]
In this paper we introduce a new concept for Riesz Fuzzy ideal of almost lacunary Ces´aro statistical convergence of χ 3 sequence spaces strong P− convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence
., Vandana +2 more
core +2 more sources
We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods. The results include a classical result by Hardy and another by Moricz and Rhoades as particular cases.
Jinlu Li
wiley +1 more source
TAUBERIAN THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY OF INTEGRALS [PDF]
Let $q$ be a positive weight function on $\mathbf{R}_{+}:=[0, \infty)$ which is integrable in Lebesgue's sense over every finite interval $(0,x)$ for $00$, $Q(0)=0$ and $Q(x) \rightarrow \infty $ as $x \to \infty $.Given a real or complex-valued function
Canak, Ibrahim, Ozsarac, Firat
core +1 more source
Approximation by double Walsh polynomials
We study the rate of approximation by rectangular partial sums, Cesàro means, and de la Vallée Poussin means of double Walsh‐Fourier series of a function in a homogeneous Banach space X. In particular, X may be Lp(I2), where 1≦p < ∞ and I2 = [0, 1) × [0, 1), or CW(I2), the latter being the collection of uniformly W‐continuous functions on I2. We extend
Ferenc Móricz
wiley +1 more source
A technique used by S. Haber to prove an elementary inequality is applied here to obtain a more general inequality for convex sequences.
A. McD. Mercer
wiley +1 more source
Limits of Some Weighted Cesaro Averages [PDF]
We investigate the existence of the limit of some high order weighted Cesaro ...
CRISMALE, VITONOFRIO +2 more
core +1 more source
Equiconvergence and equisummability of Jacobi series [PDF]
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi ...
Boychev, Georgi
core
On deferred f-statistical convergence for double sequences
In this article, we first put forward the concept of deferred f-double natural density for double sequences, where f is an unbounded modulus. Then, we combine f-density with deferred statistical convergence for double sequences and investigate deferred f-
Zhu Yahui +3 more
doaj +1 more source

