Trudy Mat. Inst. Steklov., 1985, Volume 172

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1985, Volume 172

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Contents

Investigations on the theory of functions of several real variables and approximation of functons

Collection of articles. Dedicated to the academician S. M. Nikol'skij on the occasion of his 80th birthday

	Sergei Mikhailovich Nikol'skii (photo)
	Preface		3
	Estimates of integral moduli of continuity and imbedding theorems for domains with the flexible horn condition O. V. Besov		4
	Two-sided estimates of the eigenvalues of the Dirichlet problem for a class of degenerate elliptic differential operators K. Kh. Boimatov		16
	Construction of a dyadic interpolation basis in the space of continuous functions using Fejér kernels S. V. Bochkarev		29
	Fractional difference operators and function classes Ya. S. Bugrov		60
	Extension of functions with preservation of Sobolev seminorm V. I. Burenkov		71
	An exponentially converging method for the Neumann problem on multiply connected polygons E. A. Volkov		86
	Approximation of continuous periodic functions by Fourier sums V. T. Gavrilyuk, S. B. Stechkin		107
	On imbedding generalized Nikol'skii–Besov spaces in Lorentz spaces M. L. Gol'dman		128
	On the efficient construction of good uniform polynomial approximations of the functions $\|x\|^r$, $r>0$ V. K. Dzyadyk		140
	Some questions associated with the formulation of embedding theorems in domains V. P. Il'in		155
	Theorems on extension, multipliers and diffeomorphisms for generalized Sobolev–Liouville classes in domains with a Lipschitz boundary G. A. Kalyabin		173
	On approximation properties of complete orthonormal systems B. S. Kashin		187
	Maximal functions and integrals of potential type in weighted Lebesgue and Lorentz spaces V. M. Kokilashvili		192
	On variational problems for quadratic weight functionals on infinite intervals L. D. Kudryavtsev		202
	Representation of entire functions by a series of generalized exponentials A. F. Leont'ev		215
	On the theory of degenerate elliptic equations P. I. Lizorkin		235
	Summability of function series by the $A^{(*)}$-method D. E. Men'shov		252
	Approximation theory on the sphere S. M. Nikol'skii, P. I. Lizorkin		272
	On strong summability of Fourier series K. I. Oskolkov		280
	On Jackson theorems for the generalized modulus of smoothness M. K. Potapov, V. M. Fedorov		291
	Applications of hypersingular integrals to multidimensional integral equations of the first kind S. G. Samko, S. M. Umarkhadzhiev		299
	Asymptotic behavior of best approximations of individual functions V. N. Temlyakov		313
	Multiplicative estimates of moduli of mixed operator smoothness A. P. Terekhin		325
	Superpositions of functions, and Fourier coefficients P. L. Ul'yanov		338