On the rate of convergence of double series of exponents representing regular functions on products of convex polygons
Estimates exact in order are obtained in the uniform and integral metrics for the deviation of partial sums of double series of exponents that represent functions which are regular on products of convex polygons and either continuous on a product of closed polygons or belonging to the Smirnov class.
Saved in:
| Date: | 1994 |
|---|---|
| Main Authors: | Mel'nik, Yu. I., Мельник, Ю. І. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5645 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On divergence of series of exponents representing functions regular in convex polygons
by: Mel'nik, Yu. I., et al.
Published: (1994)
by: Mel'nik, Yu. I., et al.
Published: (1994)
Approximation of functions regular in convex polygons by exponential polynomials
by: Melnik, Yu. I., et al.
Published: (1988)
by: Melnik, Yu. I., et al.
Published: (1988)
On conditions for convergence of Taylor-Dirichlet series in a convex domain
by: Krutigolova, Ye. K., et al.
Published: (1994)
by: Krutigolova, Ye. K., et al.
Published: (1994)
Inverse theorems of approximation of regular (in convex polygons) functions by exponential polynomials in the integral metric
by: Melnik , Yu. I., et al.
Published: (1988)
by: Melnik , Yu. I., et al.
Published: (1988)
Direct theorems of approximation for the functions regular in convex polygon by exponential polynomials in the integral metrics
by: Melnik, Yu. I., et al.
Published: (1988)
by: Melnik, Yu. I., et al.
Published: (1988)
Representation of analytic functions by generalized series of exponents in unbounded convex domains
by: Krutigolova, Ye. K., et al.
Published: (1998)
by: Krutigolova, Ye. K., et al.
Published: (1998)
Rate of Convergence of Positive Series
by: Skaskiv, O. B., et al.
Published: (2004)
by: Skaskiv, O. B., et al.
Published: (2004)
F-functions for ellipses and convex polygons
by: T. A. Bardadym, et al.
Published: (2015)
by: T. A. Bardadym, et al.
Published: (2015)
Convergence rates in regularization for the case of monotone perturbations
by: Nguen, Byong, et al.
Published: (2000)
by: Nguen, Byong, et al.
Published: (2000)
Convex Polygonal Hull for a Pair of Irregular Objects
by: V. M. Dubynskyi, et al.
Published: (2021)
by: V. M. Dubynskyi, et al.
Published: (2021)
On the regular growth of Dirichlet series absolutely convergent in a half-plane
by: Stets', Yu. V., et al.
Published: (2011)
by: Stets', Yu. V., et al.
Published: (2011)
On the almost-everywhere convergence of the Riesz means of double orthogonal series
by: Andrienko, V. A., et al.
Published: (1999)
by: Andrienko, V. A., et al.
Published: (1999)
On absolute, perfect, and unconditional convergences of double series in Banach spaces
by: Kadets, M. I., et al.
Published: (1997)
by: Kadets, M. I., et al.
Published: (1997)
On linearly convex domains with smooth boundaries
by: Mel’nik, V. L., et al.
Published: (1997)
by: Mel’nik, V. L., et al.
Published: (1997)
Linearly convex domains with singularities on the boundary
by: Mel’nik, V. L., et al.
Published: (2000)
by: Mel’nik, V. L., et al.
Published: (2000)
Topological classification of (n−1)-convex sets
by: Mel’nik, V. L., et al.
Published: (1998)
by: Mel’nik, V. L., et al.
Published: (1998)
Rate of convergence of the Taylor series for some classes of analytic functions
by: Savchuk, V. V., et al.
Published: (1998)
by: Savchuk, V. V., et al.
Published: (1998)
Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals
by: Stepanets, O. I., et al.
Published: (1997)
by: Stepanets, O. I., et al.
Published: (1997)
On the convergence of the Padé approximants of q-analogs of exponent
by: N. M. Havryliuk, et al.
Published: (2015)
by: N. M. Havryliuk, et al.
Published: (2015)
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems
by: Nguyen Buong
Published: (2003)
by: Nguyen Buong
Published: (2003)
Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems
by: Nguen, Byong, et al.
Published: (2003)
by: Nguen, Byong, et al.
Published: (2003)
Investigation of smoothness conditions on the boundary for the strong linear convexity of a domain
by: Mel’nik, V. L., et al.
Published: (1999)
by: Mel’nik, V. L., et al.
Published: (1999)
On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)
by: Hembars'ka, S. B., et al.
Published: (1999)
On the rate of convergence of a regular martingale related to a branching random walk
by: Iksanov, O. M., et al.
Published: (2006)
by: Iksanov, O. M., et al.
Published: (2006)
Dzyadyk formula for summation of double Faber series
by: Tsvil', M. M., et al.
Published: (1994)
by: Tsvil', M. M., et al.
Published: (1994)
Characteristics of power growth of a multidimensional series of exponents
by: Makarov, V. Yu., et al.
Published: (1994)
by: Makarov, V. Yu., et al.
Published: (1994)
Anisotropic parabolic problem with variable exponent and regular data
by: R. Mecheter
Published: (2022)
by: R. Mecheter
Published: (2022)
Exponents Associated with Y-Systems and their Relationship with q-Series
by: Mizuno, Yuma
Published: (2020)
by: Mizuno, Yuma
Published: (2020)
Convergence of Pade's approximants of q-analogues of an exponent
by: A. P. Holub, et al.
Published: (2015)
by: A. P. Holub, et al.
Published: (2015)
On weak compactness of bounded sets in Banach and locally convex spaces
by: Kogut, P. I., et al.
Published: (2000)
by: Kogut, P. I., et al.
Published: (2000)
Properties of the series of exponents whose indices have finite density
by: Krutigolova , E. K., et al.
Published: (2025)
by: Krutigolova , E. K., et al.
Published: (2025)
On the Convergence of Fourier Series in the Space $L_1$
by: Zaderei, P. V., et al.
Published: (2002)
by: Zaderei, P. V., et al.
Published: (2002)
On convergence classes of Dirichlet series
by: Mulyava, O. M., et al.
Published: (1999)
by: Mulyava, O. M., et al.
Published: (1999)
Estimates for the Variation of Functions Defined by Double Trigonometric Cosine Series
by: Hembars'ka, S. B., et al.
Published: (2003)
by: Hembars'ka, S. B., et al.
Published: (2003)
Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form
by: Melnik , Yu. I., et al.
Published: (1992)
by: Melnik , Yu. I., et al.
Published: (1992)
Regularities of Change in Strain Hardening Exponent of Structural Titanium Alloys at Nonuniform Deformation
by: O. M. Ivasishin, et al.
Published: (2013)
by: O. M. Ivasishin, et al.
Published: (2013)
On the rate of convergence of stochastic approximation procedures
by: Koval, V. A., et al.
Published: (1994)
by: Koval, V. A., et al.
Published: (1994)
Simplex and Polygon Equations
by: Dimakis, A., et al.
Published: (2015)
by: Dimakis, A., et al.
Published: (2015)
Rate of convergence for Szász-Bézier operators
by: Gupta Vijay
Published: (2005)
by: Gupta Vijay
Published: (2005)
The Convergence Rate of the Third and the Fourth Moments
by: Yeleyko, Yaroslav Ivanovich, et al.
Published: (2017)
by: Yeleyko, Yaroslav Ivanovich, et al.
Published: (2017)
Similar Items
-
On divergence of series of exponents representing functions regular in convex polygons
by: Mel'nik, Yu. I., et al.
Published: (1994) -
Approximation of functions regular in convex polygons by exponential polynomials
by: Melnik, Yu. I., et al.
Published: (1988) -
On conditions for convergence of Taylor-Dirichlet series in a convex domain
by: Krutigolova, Ye. K., et al.
Published: (1994) -
Inverse theorems of approximation of regular (in convex polygons) functions by exponential polynomials in the integral metric
by: Melnik , Yu. I., et al.
Published: (1988) -
Direct theorems of approximation for the functions regular in convex polygon by exponential polynomials in the integral metrics
by: Melnik, Yu. I., et al.
Published: (1988)