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Summability of Multi-Dimensional Trigonometric Fourier Series
Hardy spaces Hp-atom interpolation Fourier series circular triangu-lar cubic and rectangular summability
2012/6/30
We consider the summability of one- and multi-dimensional trigonometric Fourier series. The Fej{\'e}r and Riesz summability methods are investigated in detail. Different types of summation and converg...
Local Property of Absolute Weighted Mean Summability of Fourier Series
Local property Fourier series absolute summability H¨older’s inequality Minkowski’s inequality
2009/6/16
We obtain a general theorem on a local property of j T jk summability of factored
Fourier series generalizing some previous result due to Rhoades and Savas [5]. Another
result concerning j T jk of F...
H. Bor, Factors for Absolute Nörlund Summability
N¨orlund summability infinite series sequences summability factors
2009/6/16
In this paper, a general theorem dealing with j N; pn jk summability factors has been
proved. This theorem also includes some known results.
On the strong lacunary convergence and strong Cesaro summability of sequences of real-valued functions
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
2009/2/24
In this paper we introduce the concepts of the strong lacunary
convergence and strong Ces´aro summabilty of sequences of real-valued
functions. We also give the relations between these converg...
Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
summability nonlinear parabolic equations measure data
2009/1/13
In this paper, we give an improvement of the summability of solutions to nonlinear parabolic equations with measure data.
On the strong lacunary convergence and strong Ces´aro summability of sequences of real-valued
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
2009/1/7
In this paper we introduce the concepts of the strong lacunary
convergence and strong Ces´aro summabilty of sequences of real-valued
functions. We also give the relations between these converg...
ON ABSOLUTE CES `A RO SUMMABILITY FACTORS OF INFINITE SERIES
Absolute Ces aro summability infinite series summability factors
2008/11/25
In this paper, a general theorem concerning the j¡j C;1 jk summability factors of
infinite series has been proved.
In this paper a main theorem on j N; pn jk summability factors, which generalizes
a known result on j N; pn j summability factors, has been proved.
A Note on Absolute Nörlund Summability
Nö rlund summability summability factors power increasing sequences
2008/7/3
A Note on Absolute Nörlund Summability.
A Recent Note on the Absolute Riesz Summability Factors
Infinite Series First and second differences Riesz summability Summability factors
2008/7/3
The purpose of this note is to present a theorem having conditions of new type and to weaken some assumptions given in two previous papers simultaneously.
A Note on Summability Factors.
A Note on the Absolute Riesz Summability Factors
Infinite Series First and second differences Riesz summability
2008/7/3
A crucial assumption of a previous theorem of the author is omitted without changing the consequence. This is achieved by proving a new (?) estimation on the absolute value of the terms of a real sequ...
A Note on the Absolute Riesz Summability Factors
Infinite Series First and second differences Riesz summability
2008/7/3
A crucial assumption of a previous theorem of the author is omitted without changing the consequence. This is achieved by proving a new (?) estimation on the absolute value of the terms of a real sequ...
Absolute Nörlund Summability Factors
Nö rlund summability summability factors power increasing sequences
2008/7/3
In this paper a theorem on the absolute Nörlund summability factors has been proved under more weaker conditions by using a quasi -power increasing sequence instead of an almost increasing sequen...
Inclusion Theorems for Absolute Summability Methods
Absolute summability Summability factors Infinite series
2008/7/1
In this paper we have proved two theorems concerning an inclusion between two absolute summability methods by using any absolute summability factor.