Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$ | Zendy

O.V. Fedunyk-Yaremchuk | Zendy; S.B. Hembars'ka | Zendy

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Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$

Author(s) -

O.V. Fedunyk-Yaremchuk,

S.B. Hembars'ka

Publication year - 2019

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.11.2.281-295

Subject(s) - mathematics , omega , logarithm , moduli , exponential function , space (punctuation) , order (exchange) , moduli space , periodic function , modulus of continuity , mathematical analysis , pure mathematics , combinatorics , type (biology) , physics , linguistics , biology , philosophy , finance , quantum mechanics , economics , ecology

In this paper, we continue the study of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers. We obtain the exact-order estimates of the orthoprojective widths of the classes $B^{\Omega}_{p,\theta}$ in the space $L_{q},$ $1\leq p

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