Cover Image

Uniform estimates of integral strong average derivations of continuous functions by integral functions

Estimates for the $(\lambda, \varphi)$-integral strong mean deviations of continuous functions on the whole axis by entire functions of finite degree are obtained.

Saved in:

Bibliographic Details
Date:	2025
Main Authors:	Pachulia , N. L., Пачулиа , Н. Л.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9363
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 Strong Summability of Fourier Series of Summable Functions
by: Pachulia, N. L., et al.
Published: (2000)

On the Estimation of Strong Means of Fourier Series
by: Pachulia, N. L., et al.
Published: (2015)

On the integral function derivative
by: Sheremeta , M. N., et al.
Published: (1988)

Points of strong summability of fourier series
by: Pachulia, N. L., et al.
Published: (1994)

On Modified Strong Dyadic Integral and Derivative
by: Golubov, B. I., et al.
Published: (2002)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: A. S. Serdiuk, et al.
Published: (2014)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: Serdyuk, A. S., et al.
Published: (2014)

Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications
by: Babenko, V. F., et al.
Published: (2011)

On the Estimation of Strong Means of Fourier Series
by: N. L. Pachulia
Published: (2015)

On integral functions with derivatives univalent in a circle
by: Sheremeta , M. N., et al.
Published: (1991)

Interpolation of nonlinear functionals by integral continued fractions
by: Mykhal'chuk, B. R., et al.
Published: (1999)

Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)

On uniform deviation from the space of continuous function
by: V. K. Masliuchenko, et al.
Published: (2014)

Families of functions with equal-power absolutely continuous integrals
by: Dovgoshei , A. A., et al.
Published: (1992)

Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients
by: Zaderei, P. V., et al.
Published: (1998)

Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2009)

On extremal problems on classes of functions defined by integral moduli of continuity
by: Ligun, A. A., et al.
Published: (1997)

Integral estimation of firmness of functioning of small enterprise
by: T. V. Umanets, et al.
Published: (2012)

Averaging of integral functionals related to domains of frame-type periodic structure with thin channels
by: Kovalevskii, A. A., et al.
Published: (2000)

Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian
by: Babenko, V. F., et al.
Published: (2016)

Averaging of multivalued integral equations
by: N. V. Skripnik
Published: (2013)

On the modulus of continuity of solid derivatives of a Cauchy-type integral
by: Gerus, O. F., et al.
Published: (1998)

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

On lower bounds for the widths of classes of functions defined by integral moduli of continuity
by: Derets, E. V., et al.
Published: (2000)

On Piecewise-Constant Approximation of Continuous Functions of n Variables in Integral Metrics
by: Bel'skii, S. A., et al.
Published: (2002)

Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian
by: V. F. Babenko, et al.
Published: (2016)

Differentiation of Singular Integrals with Piecewise-Continuous Density and Boundary Values of Derivatives of a Cauchy-Type Integral
by: Plaksa, S. A., et al.
Published: (2005)

Averaging in Volterra set-valued integral equations
by: Vityuk, A. N., et al.
Published: (1995)

Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics
by: Yanchenko, S. Ya., et al.
Published: (2015)

Approximation in the mean of classes of functions with fractional derivatives by their Abel–Poisson integrals
by: T. V. Zhigallo
Published: (2019)

Estimates for the modulus of a Cauchy-type integral and its derivatives
by: Gerus, O. F., et al.
Published: (1999)

Integral estimation of tourism-and-recreation sector functioning on different territories
by: M. V. Ilina
Published: (2013)

An estimate for the modulus of continuity of a quaternion singular Cauchy integral
by: Gerus, O. F., et al.
Published: (2010)

Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field
by: Kochubei, A. N., et al.
Published: (2005)

On behaviour of deviations’ group on sets of $(\psi,\beta)$-differentiable functions
by: Stepanets, A. I., et al.
Published: (1987)

Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex
by: Feng Qi, et al.
Published: (2015)

Hermite–Hadamard-Type Integral Inequalities for Functions Whose First Derivatives are Convex
by: Qi, Feng, et al.
Published: (2015)

Estimate of the mixed derivative of holomorphic functions in polydisk
by: Yu. Meremelia, et al.
Published: (2013)

Best Uniform Approximation of a Family of Functions Continuous on a Compact Set
by: Hnatyuk, Yu. V., et al.
Published: (2002)

Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field
by: Kochubei, A.N.
Published: (2005)