On Some Theorems of the Dunkl—Lipschitz Class for the Dunkl Transform

2019 ◽  
Vol 40 (8) ◽  
pp. 1157-1163
Author(s):  
Mohamed El Hamma ◽  
Radouan Daher
Keyword(s):  
Lipschitz Class ◽  
Dunkl Transform

scholarly journals Trigonometric approximation of functions $f(x,y)$ of generalized Lipschitz class by double Hausdorff matrix summability method

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Abhishek Mishra ◽  
Vishnu Narayan Mishra ◽  
M. Mursaleen
Keyword(s):  
Double Fourier Series ◽  
Degree Of Approximation ◽  
Trigonometric Approximation ◽  
Lipschitz Class ◽  
Gamma Delta ◽  
Approximation Of Functions ◽  
Matrix Summability ◽  
Alpha Beta ◽  
Generalized Lipschitz Class ◽  
Hausdorff Matrix

AbstractIn this paper, we establish a new estimate for the degree of approximation of functions $f(x,y)$ f ( x , y ) belonging to the generalized Lipschitz class $Lip ((\xi _{1}, \xi _{2} );r )$ L i p ( ( ξ 1 , ξ 2 ) ; r ) , $r \geq 1$ r ≥ 1 , by double Hausdorff matrix summability means of double Fourier series. We also deduce the degree of approximation of functions from $Lip ((\alpha ,\beta );r )$ L i p ( ( α , β ) ; r ) and $Lip(\alpha ,\beta )$ L i p ( α , β ) in the form of corollary. We establish some auxiliary results on trigonometric approximation for almost Euler means and $(C, \gamma , \delta )$ ( C , γ , δ ) means.

A Note on Recursive Interpolation for the Lipschitz Class

2020 ◽  
Vol 55 (3) ◽  
pp. 196-199
Author(s):  
F. Tugores ◽  
L. Tugores
Keyword(s):  
Lipschitz Class

Miyachi's theorem for the Dunkl transform

2011 ◽  
Vol 22 (3) ◽  
pp. 167-173 ◽  
Author(s):  
F. Chouchene ◽  
R. Daher ◽  
T. Kawazoe ◽  
H. Mejjaoli
Keyword(s):  
Dunkl Transform ◽  
Miyachi’S Theorem

scholarly journals Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions

2014 ◽  
Vol 90 (9) ◽  
pp. 135-137 ◽  
Author(s):  
Radouan Daher ◽  
Mustapha Boujeddaine ◽  
Mohamed El Hamma
Keyword(s):  
Lipschitz Functions ◽  
Dunkl Transform

scholarly journals Some new integral inequalities for Lipschitzian functions

2018 ◽  
Vol 8 (2) ◽  
pp. 259-265 ◽  
Author(s):  
İmdat İşcan ◽  
Mahir Kadakal ◽  
Alper Aydın
Keyword(s):  
Lipschitz Class ◽  
Integral Inequalities ◽  
Lipschitzian Functions ◽  
Special Means ◽  
Different Types ◽  
New Type

This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given.

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