Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities of Jackson-Stechkin type for elements of Hilbert space (in
  Russian)   In this paper we introduced a new characteristics of the elements of a
Hilbert space - generalized moduli of continuity
$\omega_\varphi(x;L_{p,V}([0,\delta]))$ and obtain new exact inequalities of
Jackson - Stechkin type with these moduli of continuity for the approximation
of elements of a Hilbert space. These results include many well-known
inequalities for approximation of periodic functions by trigonometric
polynomials, approximation of non-periodic functions by entire functions of
exponential type, similar results for almost periodic functions, and others. A
number of results is new even in these classic situations.

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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga