AbstractWe prove the convergence in L1-norm of the double Fourier series of an integrable function ƒ(x, y) which is 2π-periodic with respect to x and y, with coefficients ajk satisfying certain conditions of the Hardy-Karamata kind, and such that ajklogj logk→0 as j, k →∞. We consider separately double cosine, sine, cosine-sine, and complex trigonometric series
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
Abstract. The two-dimensional (Nörlund) logarithmic means of the Fourier series of the integrable fu...
Abstract. It is proved that the complex double Fourier series of an integrable func-tion f (x, y) wi...
AbstractWe extend the results of A.S. Belov from single to double Fourier series, which give necessa...
Since the trigonometric Fourier series of an integrable function does not necessarily converge to th...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
AbstractWe extend the class of double null sequences of complex numbers that are of bounded variatio...
AbstractThe aim of this paper is to prove the a.e. convergence of sequences of the Fejér means of th...
Abstract. Let f be a 2pi periodic function in L1[0, 2pi] and f̂(n), n ∈ Z, be its Fourier coefficien...
AbstractWe consider double cosine and sine series whose coefficients form a null sequence of bounded...
summary:For real functions of bounded variation in the Hardy sense, $2\pi$-periodic in each variable...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
Abstract. The two-dimensional (Nörlund) logarithmic means of the Fourier series of the integrable fu...
Abstract. It is proved that the complex double Fourier series of an integrable func-tion f (x, y) wi...
AbstractWe extend the results of A.S. Belov from single to double Fourier series, which give necessa...
Since the trigonometric Fourier series of an integrable function does not necessarily converge to th...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
summary:We extend the results of paper of F. Móricz (2010), where necessary conditions were given fo...
AbstractWe extend the class of double null sequences of complex numbers that are of bounded variatio...
AbstractThe aim of this paper is to prove the a.e. convergence of sequences of the Fejér means of th...
Abstract. Let f be a 2pi periodic function in L1[0, 2pi] and f̂(n), n ∈ Z, be its Fourier coefficien...
AbstractWe consider double cosine and sine series whose coefficients form a null sequence of bounded...
summary:For real functions of bounded variation in the Hardy sense, $2\pi$-periodic in each variable...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
summary:It is a classical problem in Fourier analysis to give conditions for a single sine or cosine...
Abstract. The two-dimensional (Nörlund) logarithmic means of the Fourier series of the integrable fu...
DOI
Add to ORKG