Geodesic
Jackson–Stechkin type inequalities between the best polynomial approximations and generalized moduli of continuity in the weighted Bergman space $\mathscr{B}_{2,\gamma}$
Matematičeskie zametki, Tome 116 (2024) no. 3, pp. 396-410 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain sharp Jackson–Stechkin type inequalities for a generalized higher-order modulus of continuity and calculate the exact values of some known $n$-widths of classes of analytic functions defined by using this characteristic in the weighted Bergman space.
Keywords: best polynomial approximation, generalized modulus of continuity, extremal characteristic, widths. 
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M. R. Langarshoev. Jackson–Stechkin type inequalities between the best polynomial approximations and generalized moduli of continuity in the weighted Bergman space $\mathscr{B}_{2,\gamma}$. Matematičeskie zametki, Tome 116 (2024) no. 3, pp. 396-410. http://geodesic.mathdoc.fr/item/MZM_2024_116_3_a5/

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