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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.
Strong Laws and Summability for Sequences of $phi$-Mixing Random Variables in Banach Spaces
StrongLaws Summability
2009/5/8
In this note the almost sure convergence of stationary, $varphi$-mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is linked to the ful...
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...