Pozharska (Shvai) Kateryna

. Pozharska K., Romanyuk A., Romanyuk V. Widths and entropy numbers of the classes of periodic functions of one and several variables in the space $B_{q,1}$ // Carpathian Math. Publ. - 2024. - 16, Ή2. - P. 351-366.
paper

. Pozharska K.V., Romanyuk A.S., Yanchenko S.Ya. Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative // Ukr. Math. J. - 2024. - 76, Ή7. P. 1007-1023.
paper
paper in arXiv

. Pozharska K.V., Romanyuk A.S. Estimates for the approximation characteristics of the Nikol'skii-Besov classes of functions with mixed smoothness in the space $B_{q,1}$. arXiv:2404.05451, 2024.
paper

. Krieg D., Pozharska K., Ullrich M., Ullrich T. Sampling projections in the uniform norm. arXiv:2401.02220, 2024.
paper

. Krieg D., Pozharska K., Ullrich M., Ullrich T. Sampling recovery in the uniform and other norms. arXiv:2305.07539v2, 2023.
paper

. Romanyuk A., Romanyuk V., Pozharska K., Hembars’ka S. Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions // Carpathian Math. Publ. - 2023. - 15, Ή1. - P. 78-94.
paper

. Shvai O., Pozharska K. On some approximation properties of Gauss-Weierstrass singular operators // J. Math. Sci. – 2022. – 260, Ή5. – P. 693–699.
paper

. Pozharska K., Ullrich T. A note on sampling recovery of multivariate functions in the uniform norm // SIAM J. Numer. Anal. - 2022. - 60, Ή3. - P. 1363-1384.
paper
paper in arXiv

. Pozharskyi A.A., Pozharska K.V. Recovery of continuous functions of two variables from their Fourier coefficients known with error // Carpathian Math. Publ. – 2021. – 13, Ή3. – P. 676–686.
paper

. Pozharska K. Best approximations and entropy numbers of the classes of periodic functions of many variables. In: TEMat monográficos, 2 (2021): Proceedings of the 3rd BYMAT Conference, pp. 147-150. ISSN: 2660-6003.
paper

. Pozharska K. V., Pozharskyi O. A. Recovery of continuous functions from their Fourier coefficients known with error // Researches in Mathematics. – 2020. – 28, Ή2. – P. 24–34.
paper

⋅ Kal’chuk I. V., Kharkevych YU. I., Pozharska K. V. Asymptotics of approximation of functions by conjugate Poisson integrals // Carpathian Math. Publ. – 2020. – 12, Ή1. – pp. 138–147.
paper

⋅ Pozharska K. V. Entropy numbers of the Nikil'skii - Besov -type classes of periodic functions of many variables // Ukrainian Mathematical Bulletin. – 2018. – Vol. 15, Ή3. – pp. 383 – 396; Engl. Transl.: J. Math Sci. – 2019. – 241, Ή1. – pp. 64-76.
paper

⋅ Kharkevych Yu. I., Pozharska K. V. Asymptotics of approximation of conjugate functions by Poisson integrals // Acta et Commentationes Universitatis Tartuensis de Mathematica. – 2018. – 22, Ή2. – 235-243.
paper

⋅ Pozharska K. V. Estimates of entropy numbers of the classes $B^{\Omega }_{ p, \theta }$ of periodic multivariable functions in the uniform metric // Ukr. Math. J. - 2018. - 70, Ή9. - pp. 1249 - 1263; Engl. Transl.: Ukr. Math. J. - 2019. – 70, Ή9. – pp. 1439-1455.
paper

⋅ Shvai K. V. Estimation of the best bilinear approximations for the classes of $(\boldsymbol{ \psi }, \boldsymbol{ \beta } )$-differentiable periodic multivariable functions // Ukr. Math. J. - 2018. - 70, Ή4. - pp. 564 - 573; Engl. Transl.: Ukr. Math. J. – 2018. – 70, Ή4. – pp. 649 – 660.
paper

⋅ Pozharska K. V. Estimates of the best $M$-term trigonometric approximations of the classes $L_{ \boldsymbol{ \beta }, p }^{ \boldsymbol{ \psi }}$ of periodic multivariate functions of small smoothness in the space $L_q$ // Differential equations and related questions of analysis: Zb. Pr. Inst. Mat. NAN Ukr. - 2017. - 14, Ή3. - pp. 293 - 318. (in Ukrainian)
paper

⋅ Shvai K. V. The best $M$-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space ${{L}_{q}}$ // Ukrainian Mathematical Bulletin. – 2016. – Vol. 13, Ή3. – pp. 361 – 375; Engl. Transl.: Journal of Math. Sci. – 2017. – 222, Ή6. – pp. 750 – 761.
paper

⋅ Shvai K.V. The best $M$-term trigonometric approximations of classes of $(\psi ,\beta )$-differentiable periodic multivariate functions in the space ${{L}_{q}}$ // Journal of Computational and Applied Mathematics. Taras Shevchenko National University of Kyiv. – 2016. – 122, Ή2. – pp. 83 – 91.
paper

⋅ Shvai K.V. Estimates of the best orthogonal trigonometric approximations of the generalized multivariate analogues of Bernoulli kernels and classes $L_{\beta ,1}^{\psi }$ in the space ${{L}_{q}}$ // Differential equations and related questions of analysis: Zb. Pr. Inst. Mat. NAN Ukr. — 2016. – 13, Ή1. – pp. 300 – 320. (in Ukrainian)
paper