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球面Sd-1上的广义Ul'yanov型不等式
Generalized Ul'yanov Type Inequality on the Sphere Sd-1
球调和 / 分数阶导数 / 连续模 / 广义Ul’yanov型不等式 {{custom_keyword}} /
moduli of smoothness / generalized Ul’yanov-type inequalities / spherical harmonics / fractional derivatives {{custom_keyword}} /
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[11] Askey R., Wainger S., On the behavior of special classes of ultraspherical expansions, I, J. Analyse Math., 1965, 15: 193--220.
[12] Stein E. M., Singular Integrals and Differentiability Properties of Functions, Princeton: Princeton University Press, 1970.
[13] Ditzian Z., Hristov V. H., Ivanov K. G., Moduli of smoothness and K-functionals in Lp, 0<p<1, Constructive Approximation, 1995, 11(1): 67--83.
国家自然科学基金资助项目(10771016)
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