Trudy Mat. Inst. Steklova, 2016, Volume 293

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

2016, Volume 293

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Function spaces, approximation theory, and related problems of mathematical analysis

Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii

	Sergei Mikhailovich Nikol'skii (photo)
	Foreword		7
	Nonlinear trigonometric approximations of multivariate function classes D. B. Bazarkhanov		8
	Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties E. G. Bakhtigareeva, M. L. Goldman		43
	Spaces of functions of positive smoothness on irregular domains O. V. Besov		62
	Convergence of integrable operators affiliated to a finite von Neumann algebra A. M. Bikchentaev		73
	Fourier–Price coefficients of class GM and best approximations of functions in the Lorentz space $L_{p\theta}[0,1)$, $1<p<+\infty$, $1<\theta<+\infty$ A. U. Bimendina, E. S. Smailov		83
	On linear functionals on Clifford modules and their extensions I. A. Borovikov		105
	An analog of Young's inequality for convolutions of functions for general Morrey-type spaces V. I. Burenkov, T. V. Tararykova		113
	An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture V. I. Buslaev		133
	On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space E. I. Galakhov, O. A. Salieva		146
	Some boundary value problems in three-dimensional domains Yulii A. Dubinskii		157
	Weighted extrapolation in Iwaniec–Sbordone spaces. Applications to integral operators and approximation theory V. M. Kokilashvili, A. N. Meskhi		167
	On some properties of finite sums of ridge functions defined on convex subsets of $\mathbb R^n$ S. V. Konyagin, A. A. Kuleshov		193
	Exactness and optimality of methods for recovering functions from their spectrum G. G. Magaril-Il'yaev, K. Yu. Osipenko		201
	Relative widths of Sobolev classes in the uniform and integral metrics Yu. V. Malykhin		217
	On the Nikol'skii and Potapov classes of functions V. P. Motornyi		224
	Hardy–Steklov operators and Sobolev-type embedding inequalities M. G. Nasyrova, E. P. Ushakova		236
	Boundedness and compactness of a class of convolution integral operators of fractional integration type R. Oinarov		263
	On a class of weighted inequalities containing quasilinear operators D. V. Prokhorov		280
	Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces I. V. Sadovnichaya		296
	Geometric relations between the zeros of polynomials Bl. Sendov		325
	Convergence and rate of convergence of some greedy algorithms in convex optimization V. N. Temlyakov		333
	A note on function spaces in rough domains Hans Triebel		346