spherical polynomials
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scholarly journals On the $$L^2$$-norm of Gegenbauer polynomials

2021 ◽  
Author(s):  
Damir Ferizović
Keyword(s):  
Asymptotic Behavior ◽  
Numerical Analysis ◽  
Recursive Formula ◽  
Gegenbauer Polynomials ◽  
Spherical Polynomials ◽  
Present Text

AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.

scholarly journals Estimates of the asymptotic Nikolskii constants for spherical polynomials

2021 ◽  
pp. 101553
Author(s):  
Feng Dai ◽  
Dmitry Gorbachev ◽  
Sergey Tikhonov
Keyword(s):  
Spherical Polynomials

scholarly journals Approximation by spherical polynomials in 𝐿𝑝 for 𝑝 < 1

2021 ◽  
Vol 22 (3) ◽  
pp. 453-456
Author(s):  
Dmitry Viktorovich Gorbachev ◽  
Nikolai Nikolaevich Dobrovol’skii
Keyword(s):  
Spherical Polynomials

scholarly journals Nikolskii inequality for lacunary spherical polynomials

2019 ◽  
Vol 148 (3) ◽  
pp. 1169-1174 ◽  
Author(s):  
Feng Dai ◽  
Dmitry Gorbachev ◽  
Sergey Tikhonov
Keyword(s):  
Nikolskii Inequality ◽  
Spherical Polynomials

scholarly journals Volumetric spherical polynomials

AIP Advances ◽  
2019 ◽  
Vol 9 (6) ◽  
pp. 065107
Author(s):  
L. Kerby
Keyword(s):  
Spherical Polynomials

Quaternion Zernike spherical polynomials

2014 ◽  
Vol 84 (293) ◽  
pp. 1317-1337 ◽  
Author(s):  
J. Morais ◽  
I. Cação
Keyword(s):  
Spherical Polynomials
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