Cover Image

Conditions of integration of multiple trigonometric series

Sufficient conditions (the Boas-Telyakovskii conditions) on the coefficients of multiple trigonometric series are found that guarantee integrability of the sums of these series. Under these conditions, estimates are obtained for integrals of the moduli of the functions defined by multiple trigonomet...

Full description

Saved in:

Bibliographic Details
Date:	1992
Main Authors:	Zaderei, P. V., Задерей, П. В.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8103
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On Sidon-Telyakovskii-type conditions for the integrability of multiple trigonometric series
by: Ivashchuk, O. V., et al.
Published: (2008)

Estimations of the integral of modulus for mixed derivatives of the sum of double trigonometric series
by: Hembars'ka, S. B., et al.
Published: (2016)

Uniqueness theorems for multiple lacunary trigonometric series
by: Volchkov, V. V., et al.
Published: (1998)

Estimations of the integral of modulus for mixed derivatives of the sum of double trigonometric series
by: S. V. Hembarska, et al.
Published: (2016)

Convergence of the linear's average multiple Fourier series of continuous functions
by: Zaderei , P. V., et al.
Published: (1988)

Strong Karleman averages of multiple trigonometric Furier series
by: Kuznetsova , О. I., et al.
Published: (1992)

On necessary conditions for the convergence of Fourier series
by: Ivashchuk, O. V., et al.
Published: (2011)

On the integration of one class ofN-dimensional trigonometric series
by: Kuznetsovci, O. I., et al.
Published: (2000)

Power multiplier in the summation of trigonometric series
by: H. Ivasyk
Published: (2016)

Trigonometric series with uniformly distributed coefficients
by: Samoilenko, M. A., et al.
Published: (2000)

Arithmetic of semigroups of series in multiplicative systems
by: Il’inskaya, I. P., et al.
Published: (2009)

Estimates for the Variation of Functions Defined by Double Trigonometric Cosine Series
by: Hembars'ka, S. B., et al.
Published: (2003)

On multiplicators of power series in Hardy spaces
by: Volchkov, V. V., et al.
Published: (1998)

On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)

Minimum of the multiple Dirichlet series
by: Skaskiv , О. B., et al.
Published: (1992)

On the Convergence of Fourier Series in the Space $L_1$
by: Zaderei, P. V., et al.
Published: (2002)

On absolute summability of multiple Fourier series
by: Ponomarenko, Yu. A., et al.
Published: (1971)

Best orthogonal trigonometric approximations of the Nikol'skii – Besov-type classes of periodic functions in the space $B_{\infty,1}$
by: Hembars’ka, S. B., et al.
Published: (2022)

Inequalities for trigonometric polynomials in spaces with integral metric
by: Pichugov, S. A., et al.
Published: (2011)

Approximation of analytic functions by the partial sums of Taylor series
by: Gaevs'kyi, M. V., et al.
Published: (2015)

On the sets of divergence of multiple Fourier–Haar series
by: K. R. Bitsadze
Published: (2022)

On the sets of divergence of multiple Fourier–Haar series
by: Bitsadze, K. R., et al.
Published: (2023)

Gaar&#039;s conditions and trigonometric polynomials
by: H. A. Voloshyn, et al.
Published: (2017)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
by: A. Serdiuk, et al.
Published: (2023)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
by: Serdyuk, A., et al.
Published: (2023)

Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics
by: Kolomoitsev, Yu. S., et al.
Published: (2015)

Sun's Series via Cyclotomic Multiple Zeta Values
by: Zhou, Yajun
Published: (2023)

The Algebra of a q-Analogue of Multiple Harmonic Series
by: Takeyama, Y.
Published: (2013)

Strong summability of multiple Fourier series and Sidon-type inequalities
by: Kuznetsovci, O. I., et al.
Published: (1998)

Best orthogonal trigonometric approximations of the Nikol&#039;skii–Besov-type classes of periodic functions in the space B∞,1
by: S. B. Hembarska, et al.
Published: (2022)

Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics
by: Ju. S. Kolomojtsev
Published: (2015)

Multidimensional associated fractions with independent variables and multiple power series
by: D. I. Bodnar, et al.
Published: (2019)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: U. Goginava, et al.
Published: (2015)

Multidimensional associated fractions with independent variables and multiple power series
by: Bodnar, D. I., et al.
Published: (2019)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Approximation of analytic functions by the partial sums of Taylor series
by: M. V. Haievskyi, et al.
Published: (2015)

Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables
by: Zaderei, P. V., et al.
Published: (1993)

Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$
by: Adamov, A. N., et al.
Published: (2009)

Optimal algorithms for computing multiple integrals
by: B. Bandyrskii, et al.
Published: (2017)