On the classification of functions integrable on a segment
The problem of classification of functions integrable on a segment is considered. Estimates for the integral moduli of continuity of functions from generalized Potapov’s classes are obtained.
Saved in:
| Date: | 2016 |
|---|---|
| Main Authors: | Motornaya, O. V., Motornyi, V. P., Sedunova, V. V., Моторная, О. В., Моторный, В. П., Седунова, В. В. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1868 |
| 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
Comparison theorems for some nonsymmetric classes of functions
by: Motornaya, O. V., et al.
Published: (2008)
by: Motornaya, O. V., et al.
Published: (2008)
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
by: Motornaya, O. V., et al.
Published: (2000)
by: Motornaya, O. V., et al.
Published: (2000)
On the classification of functions integrable on a segment
by: O. V. Motornaja, et al.
Published: (2016)
by: O. V. Motornaja, et al.
Published: (2016)
Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces $L_{1,A,B}$
by: Motornaya, O. V., et al.
Published: (2014)
by: Motornaya, O. V., et al.
Published: (2014)
On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment
by: Motornyi, V. P., et al.
Published: (2008)
by: Motornyi, V. P., et al.
Published: (2008)
One-sided approximation of a step by algebraic polynomials in the mean
by: Motornaya, O. V., et al.
Published: (2010)
by: Motornaya, O. V., et al.
Published: (2010)
On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$
by: Motornaya, O. V., et al.
Published: (1993)
by: Motornaya, O. V., et al.
Published: (1993)
Обобщенные константы Лебега и сходимость рядов Фурье – Якоби в пространствах L1,A,B
by: Моторная, О.В., et al.
Published: (2014)
by: Моторная, О.В., et al.
Published: (2014)
Теоремы сравнения для некоторых несимметричных классов функций
by: Моторный, В.П., et al.
Published: (2008)
by: Моторный, В.П., et al.
Published: (2008)
Об асимптотически точных оценках приближения алгебраическими многочленами некоторых классов функций
by: Моторная, О.В., et al.
Published: (2000)
by: Моторная, О.В., et al.
Published: (2000)
On One-Sided Approximation of Functions with Regard for the Location of a Point on an Interval
by: Motornyi, V. P., et al.
Published: (2002)
by: Motornyi, V. P., et al.
Published: (2002)
Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001)
by: Motornyi, V. P., et al.
Published: (2001)
Approximation of fractional-order integrals by algebraic polynomials. II
by: Motornyi, V. P., et al.
Published: (1999)
by: Motornyi, V. P., et al.
Published: (1999)
Approximation of fractional-order integrals by algebraic polynomials. I
by: Motornyi, V. P., et al.
Published: (1999)
by: Motornyi, V. P., et al.
Published: (1999)
Об одностороннем приближении ступеньки алгебраическими многочленами в среднем
by: Моторная, О.В., et al.
Published: (2010)
by: Моторная, О.В., et al.
Published: (2010)
On Exact Estimates for the Pointwise Approximation of the Classes $W^rH^ω$ by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001)
by: Motornyi, V. P., et al.
Published: (2001)
On quadrature formulas with equal coefficients
by: Motornyi, V. P., et al.
Published: (1995)
by: Motornyi, V. P., et al.
Published: (1995)
On the exact constants in Hardy – Littlewood inequalities
by: Motornyi, V. P., et al.
Published: (2017)
by: Motornyi, V. P., et al.
Published: (2017)
Об асимптотической оценке наилучших приближений дифференцируемых функций алгебраическими многочленами в пространстве L₁
by: Моторная, О.В.
Published: (1993)
by: Моторная, О.В.
Published: (1993)
On the joint approximation of a function and its derivatives
in the mean
by: Motornaya, O. V., et al.
Published: (2019)
by: Motornaya, O. V., et al.
Published: (2019)
Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)
by: Motornyi, V. P., et al.
Published: (2011)
On the differentiability of the functions of a segment
by: Ponomaryov, S. P., et al.
Published: (1966)
by: Ponomaryov, S. P., et al.
Published: (1966)
Approximation of periodic functions by interpolation polynomials in $L_1$
by: Motorny, V. P., et al.
Published: (1990)
by: Motorny, V. P., et al.
Published: (1990)
К вопросу о приближении функций алгебраическими многочленами с учетом положения точки на отрезке
by: Моторный, В.П.
Published: (2008)
by: Моторный, В.П.
Published: (2008)
Приближение периодических функций интерполяционными многочленами в L₁
by: Моторный, В.П.
Published: (1990)
by: Моторный, В.П.
Published: (1990)
Исследования днепропетровских математиков по оптимизации квадратурных формул
by: Моторный, В.П.
Published: (1990)
by: Моторный, В.П.
Published: (1990)
Приближение некоторых классов сингулярных интегралов алгебраическими многочленами
by: Моторный, В.П.
Published: (2001)
by: Моторный, В.П.
Published: (2001)
Приближение интегралов дробного порядка алгебраическими многочленами. II
by: Моторный, В.П.
Published: (1999)
by: Моторный, В.П.
Published: (1999)
О точных оценках поточечного приближения алгебраическими многочленами классов WrHω
by: Моторный, В.П.
Published: (2001)
by: Моторный, В.П.
Published: (2001)
Об одностороннем приближении функций с учетом положения точки па отрезке
by: Моторный, В.П.
Published: (2002)
by: Моторный, В.П.
Published: (2002)
Приближение интегралов дробного порядка алгебраическими многочленами. I
by: Моторный, В.П.
Published: (1999)
by: Моторный, В.П.
Published: (1999)
О квадратурных формулах с равными коэффициентами
by: Моторный, В.П.
Published: (1995)
by: Моторный, В.П.
Published: (1995)
Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment
by: Babenko, Yu. V., et al.
Published: (2001)
by: Babenko, Yu. V., et al.
Published: (2001)
On the mean convergence of Fourier–Jacobi series
by: Goncharov, S. V., et al.
Published: (2010)
by: Goncharov, S. V., et al.
Published: (2010)
Direct and Inverse Problems of Baire Classification of Integrals Depending on a Parameter
by: Banakh, T. O., et al.
Published: (2004)
by: Banakh, T. O., et al.
Published: (2004)
Best one-sided approximation on the average for the classes of differentiable
functions by algebraic polynomials
by: Sedunova, V. V., et al.
Published: (2017)
by: Sedunova, V. V., et al.
Published: (2017)
Approximation of functions satisfying the Lipschitz condition on a finite segment of the real axis by Poisson–Chebyshev's integrals
by: T. V. Zhigallo
Published: (2018)
by: T. V. Zhigallo
Published: (2018)
Space-functional segmentation of the market of services
by: M. P. Malska
Published: (2016)
by: M. P. Malska
Published: (2016)
On the results of N. P. Korneichuk obtained in 1990–1999
by: Babenko, V. F., et al.
Published: (2000)
by: Babenko, V. F., et al.
Published: (2000)
Classification of notarial functions
by: L. V. Kyianytsia
Published: (2022)
by: L. V. Kyianytsia
Published: (2022)
Similar Items
-
Comparison theorems for some nonsymmetric classes of functions
by: Motornaya, O. V., et al.
Published: (2008) -
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
by: Motornaya, O. V., et al.
Published: (2000) -
On the classification of functions integrable on a segment
by: O. V. Motornaja, et al.
Published: (2016) -
Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces $L_{1,A,B}$
by: Motornaya, O. V., et al.
Published: (2014) -
On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment
by: Motornyi, V. P., et al.
Published: (2008)