variation diminishing
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scholarly journals Fourier–Boas-Like Wavelets and Their Vanishing Moments

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Leena Kathuria ◽  
Shashank Goel ◽  
Nikhil Khanna
Keyword(s):  
Sufficient Conditions ◽  
Sufficient Condition ◽  
Vanishing Moments ◽  
Variation Diminishing

In this paper, we propose Fourier–Boas-Like wavelets and obtain sufficient conditions for their higher vanishing moments. A sufficient condition is given to obtain moment formula for such wavelets. Some properties of Fourier–Boas-Like wavelets associated with Riesz projectors are also given. Finally, we formulate a variation diminishing wavelet associated with a Fourier–Boas-Like wavelet.

scholarly journals Variation diminishing-type properties for multivariate sampling Kantorovich operators

2020 ◽  
Vol 13 (4) ◽  
pp. 595-605
Author(s):  
Laura Angeloni ◽  
Danilo Costarelli ◽  
Marco Seracini ◽  
Gianluca Vinti ◽  
Luca Zampogni
Keyword(s):  
Compact Support ◽  
Digital Images ◽  
Type Estimate ◽  
Step Functions ◽  
Variation Diminishing ◽  
Kantorovich Operators

Abstract In this paper we establish a variation-diminishing type estimate for the multivariate Kantorovich sampling operators with respect to the concept of multidimensional variation introduced by Tonelli. A sharper estimate can be achieved when step functions with compact support (digital images) are considered. Several examples of kernels have been presented.

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