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Displaying 41 – 60 of 103

On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense

Maria Topolewska (1995)

Mathematica Bohemica

For real functions of bounded variation in the Hardy sense, $2 π$ -periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.

On the integrability and L¹-convergence of double trigonometric series

Ferenc Móricz (1991)

Studia Mathematica

On the localization property of square partial sums for multiple Fourier series

Casper Goffman, Fon-Che Liu (1972)

Studia Mathematica

On the Mixed Modulus of Smoothness and a Class of Double Fourier Series

Krasniqi, Xhevat Z. (2013)

Mathematica Balkanica New Series

MSC 2010: 42A32; 42A20In this paper we have defined a new class of double numerical sequences. If the coefficients of a double cosine or sine trigonometric series belong to the such classes, then it is verified that they are Fourier series or equivalently their sums are integrable functions. In addition, we obtain an estimate for the mixed modulus of smoothness of a double sine Fourier series whose coefficients belong to the new class of sequences mention above.

On the representation of measurable functions by multiple trigonometric series

Jau Chen, In Hwang (1981)

Studia Mathematica

On the strong Cesàro summability of double orthogonal series

I. Szalay (1988)

Studia Mathematica

On the uniform convergence and $L$ -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.

Goginava, U. (2003)

Georgian Mathematical Journal

Oscillatory integrals and multiplier problem for the disc

Lennart Carleson, Per Sjölin (1972)

Studia Mathematica

Partielle Differentialgleichungen und deren Anwendung auf physicalische Fragen [Book]

Bernhard Riemann (1869)

Preservation of Lipschitz class by the iterated conjugate operator

W. Connett (1972)

Studia Mathematica

Problèmes de complémentation de sons-algèbre dans l'algèbre des séries de Fourier en deux variables absolument convergentes

Michel Gatesoupe (1982)

Studia Mathematica

Radial Functions and Regularity of Solutions to the Schrödinger Equation.

Elena Prestini (1990)

Monatshefte für Mathematik

Rationale trigonometrische Tschebyscheff-Approximation in zwei Variablen.

Lothar Collatz (1966)

Publications de l'Institut Mathématique [Elektronische Ressource]

Rationalle Trigonometrische Tschebyscheff-Approximation In Zwei Variablen

L. Collatz (1966)

Publications de l'Institut Mathématique

Regular statistical convergence of double sequences

Ferenc Móricz (2005)

Colloquium Mathematicae

The concepts of statistical convergence of single and double sequences of complex numbers were introduced in [1] and [7], respectively. In this paper, we introduce the concept indicated in the title. A double sequence $x_{j k} : (j, k) \in ℕ ²$ is said to be regularly statistically convergent if (i) the double sequence $x_{j k}$ is statistically convergent to some ξ ∈ ℂ, (ii) the single sequence $x_{j k} : k \in ℕ$ is statistically convergent to some $ξ_{j} \in ℂ$ for each fixed j ∈ ℕ ∖ ₁, (iii) the single sequence $x_{j k} : j \in ℕ$ is statistically convergent to some $η_{k} \in ℂ$ for...

Several new integrability theorems are proved for multiple cosine or sine series.

Currently displaying 41 – 60 of 103

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Displaying 41 – 60 of 103

On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense

On the integrability and L¹-convergence of double trigonometric series

On the localization property of square partial sums for multiple Fourier series

On the Mixed Modulus of Smoothness and a Class of Double Fourier Series

On the representation of measurable functions by multiple trigonometric series

On the strong Cesàro summability of double orthogonal series

On the uniform convergence and $L$ -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.

Oscillatory integrals and multiplier problem for the disc

Partielle Differentialgleichungen und deren Anwendung auf physicalische Fragen [Book]

Preservation of Lipschitz class by the iterated conjugate operator

Problèmes de complémentation de sons-algèbre dans l'algèbre des séries de Fourier en deux variables absolument convergentes

Radial Functions and Regularity of Solutions to the Schrödinger Equation.

Rationale trigonometrische Tschebyscheff-Approximation in zwei Variablen.

Rationalle Trigonometrische Tschebyscheff-Approximation In Zwei Variablen

Regular statistical convergence of double sequences

Regularity properties of some Stokes operators on an infinite strip.

Riesz-Bochner summability of Fourier integrals and Fourier series

Singular integrals and cardinal series

Some Banach techniques in vector-valued Fourier analysis

Some integrability theorems for multiple trigonometric series

Currently displaying 41 – 60 of 103