Existence of Extremizers for a Model Convolution Operator
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-019-09677-x
Abstract: The operator T, defined by convolution with the affine arc length measure on the moment curve parametrized by $$h(t)=(t,t^{2},\ldots ,t^{d})$$h(t)=(t,t2,…,td) is a bounded operator from $$L^{p}$$Lp to $$L^{q}$$Lq if $$(\frac{1}{p}, \frac{1}{q})$$(1p,1q) lies on a line… read more here.
Keywords: existence extremizers; convolution operator; extremizers model; convolution ... See more keywords
Development of a morphological convolution operator for bearing fault detection
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2018.02.014
Abstract: Abstract This paper presents a novel signal processing scheme, namely morphological convolution operator (MCO) lifted morphological undecimated wavelet (MUDW), for rolling element bearing fault detection. In this scheme, a MCO is first designed to fully… read more here.
Keywords: fault detection; fault; operator; convolution operator ... See more keywords
Differential sandwich subordination of convolution operator acting on complex meromorphic functions
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Interdisciplinary Mathematics"
DOI: 10.47974/jim-1449
Abstract: In the present study, a new complex convolution operator is introduced in terms of the meromorphic formula of the generalized Mittag-Leffler functions (MLfs), namely R– function. By employing the subordination methodology, appropriate classes of admissible… read more here.
Keywords: differential sandwich; convolution operator; operator; subordination ... See more keywords