Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 1, # 2, 1985

C O N T E N T S

**Andrienko V.A.** On the rate of summability of orthogonal series by the Riesz method.

**Afanasieva V.I.** Interpolation processes in spaces *C(w)* and *C*(w _{n}).*

**Akhobadze T.I.** Classes of generalized bounded variation and continuity of functions of these classes.

**Babaev M.- B.A.** Theorem of existence in the approximation by compinations of functions of a smaller number of variables.

**Baskakov V.A.** On the best approximation of *C(e)* classes of linear polynomial operators.

**Belinski E.S.** Approximation of classes of smooth functions by trigonometric polynomials with a preseribed number of harmonics.

**Berkolaiko M.Z.** Images of Fourier functions from the generalized Besov spaces.

**Gabidzashvili M.A**. Weighted inequalities for the integral type potential in homogeneous spaces.

**Gaposhkin V.F**. Ergodic theorems for the operators in *L _{2} *and orthogonal series.

**Gevorkian G.G.** On the series by the Franklin system.

**Gogoladze L.D.** On the uniform strong summability of multiple trigonometric Fourier series.

**Gulisashvili A.B.** On the traces of the functions from the Besov space on the subsets of the Euclidean space.

**Gunia N.G.** On the convergence of the Fourier series of almost periodic Stepanov functions.

**Gurielashvili R.I.** On the Fourier coefficients.

**Danielian A.A.** On the Baire functions of the first class, defined on the compact sets.

**Jvarsheishvili A.G.** On the boundary properties of theCauchy type differentiated double integral.

**Jvarsheishvili A.G.** On a space of measurable real functions.

**Dzagnidze O.P.** Partial derivaties of the Poisson integral and their boundary properties.

**Diachenko M.I.** On the double trigonometric series and Fourier series with the monotone coefficients.

**Kokilashvili V.I.** Singular and fractional integrals in weighted spaces.

**Kuznetsova O.I.** On one condition of integrability of multiple trigonometric series.

**Mushegian G.I.** On the uniqueness of the transposed Haar series under nonfixed transposition.

**Nadiradze B.P., Chanturia Z.A.** On the absolute convergence of the Fourier-Walsh series.

**Novikov I.Ja., Rodin V.A.** On the strong in the sense of symmetric spaces summability of Fourier series.

**Ovchinnikov V.I.** Application of absolutely summing operators in the interpolation theorems on the reiteration.

**Osilenker B.P.** On the restoration of the function of m-variables by its power moments.

**Pekarski A.A.** On the rate of best rational approximations in the spaces *C*, BMO and *L _{p}.*

**Privalov A.A.** Fourier series and interpolation processes.

**Rubinstein A.I.** On the best approximating series.

**Rusak V.M.** Rational approximation of periodic functions with a piecewise-convex derivative.

**Saakian A.A.** On the Fourier series of functions of bounded generalized variation.

**Sadovskaia O.B., Semenov E.M.** Fourier-Haar multiplications.

**Starovoitov A.P.** Rational approximation of functions from *W _{2}V[a,b].*

**Stepanetz A.I.** Approximation of infinity differentiable periodic functions.

**Storozhenko E.A.** On the local approximation in *H _{p}, 0<p£ 1.*

**Temirgaliev N.** On one example from the measure theory.

**Temliakov V.M.** On linear bounded methods of approximation of functions.

**Timan A.E.** Approximation by polynomials of functions, having singularities and fractional parts.

**Trigub R.M.** On the principle of comparison of Fourier expansions.

**Ugulava D.K.** On the approximation of functions of several variables by means of integral functions of exponential type.

**Fomin G.A.** Estimation of the approximation of functions by the mean Fourier series.

**Kheladze Sh.V.** On the convergence and divergence of Fourier series in general multiplicative systems.

**Khokholov V.B.** Approximate properties of interpolation processes of Lagrange-Jacobi.

**Tsereteli O.D.** On A-integrability of values of the operators, commutative with shifts.