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

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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. 
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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