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math.CA2017★ 3 cited
Nikolskii constants for polynomials on the unit sphere
Feng Dai, Dmitry Gorbachev, Sergey Tikhonov
This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space of spherical polynomials of degree at most on the unit sph…
math.CA2017
Chebyshev-type cubature formulas for doubling weights on spheres, balls and simplexes
Feng Dai, Han Feng
This paper proves that given a doubling weight on the unit sphere of , there exists a positive constant such that for each positive integ…