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Estimates of approximative characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of many variables with given majorant of mixed continuity moduli in the space L ∞

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We obtain exact-order estimates of the approximation of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of several variables in the space L ∞ , by using operators of orthogonal projection, as well as linear operators subjected to some conditions.

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Authors and Affiliations

  1. L. Ukrainka East-European National University, Lutsk, Ukraine

    O. V. Fedunyk-Yaremchuk & K. V. Solich

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  1. O. V. Fedunyk-Yaremchuk
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  2. K. V. Solich
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Correspondence to O. V. Fedunyk-Yaremchuk.

Additional information

Translated from Ukrains’ki˘ı Matematychnyǐ Visnyk, Vol. 14, No. 3, pp. 345–360 July–September, 2017.

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Fedunyk-Yaremchuk, O.V., Solich, K.V. Estimates of approximative characteristics of the classes \( {B}_{p,\theta}^{\Omega} \) of periodic functions of many variables with given majorant of mixed continuity moduli in the space L ∞ . J Math Sci 231, 28–40 (2018). https://doi.org/10.1007/s10958-018-3803-3

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