Results 21 to 30 of about 84 (46)

Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data

open access: yesJournal of Inequalities and Applications, 2014
We consider the problem of finding a function u from the boundary data u(x,1) and uy(x,1), satisfying a nonhomogeneous elliptic equation Δu=f(x,y),x∈R ...
Tuan H. Nguyen, B. T. Tran
semanticscholar   +2 more sources

Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms

open access: yesAlexandria Engineering Journal, 2023
Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the ...
Waseem Z. Lone   +5 more
doaj  

Hartley-Fourier cosine generalized convolution inequalities

open access: yes, 2015
In this paper, we study some inequalities related to a certain generalized convolution for the Hartley-Fourier cosine integral transforms. Specially, we will apply these inequalities to estimate the solutions of some integral equations, differential ...
H. Anh, N. X. Thao
semanticscholar   +1 more source

Quadratic phase S-Transform: Properties and uncertainty principles

open access: yese-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
doaj  

On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications

open access: yes, 2018
In this paper, we investigate some reverse weighted Lp -norm ( p > 1) inequalities for convolutions related to Kontorovich-Lebedev, Fourier cosine transforms. A class of intergrodiffirential equations involing in Bessel operator are considered.
P. Hoang
semanticscholar   +1 more source

Shapiro's uncertainty principle related to the windowed Fourier transform associated with the Riemann-Liouville operator

open access: yes, 2017
Quantitative Shapiro’s dispersion uncertainty principle and umbrella theorem are proved for the windowed Fourier transform associated with the Riemann-Liouville operator. Mathematics subject classification (2010): 42A38, 44A35.
A. Hammami
semanticscholar   +1 more source

On a new approach to convolution constructions

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 435-448, 1993.
S. B. Yakubovich, Shyam L. Kalla
wiley   +1 more source

On spectral properties of the modified convolution operator

open access: yesJournal of Inequalities and Applications, 2012
We investigated the s-number of the modified convolution operator and obtained the following results c1supQ?G1|Q|1p'+1q|?Qf(x)dx|=?f?Mpq=c3supQ?F1|Q|1p'+1q|?Qf(s)ds|, where ...
Ainur Jumabayeva   +2 more
semanticscholar   +2 more sources

Inequalities for the Hartley-Fourier cosine polyconvolution

open access: yes, 2016
In this paper we present some new inequalities of Young’s type and Saitoh’s type for the Hartley-Fourier cosine polyconvolution. The inequalities of these types hold true for the Fourier convolution, but not for any convolutions or polyconvolutions ...
P. T. Anh, N. X. Thao
semanticscholar   +1 more source

Fundamental iterated convolution inequalities in weighted Lp spaces and their applications

open access: yes, 2009
In this paper, we obtain the inequalities for the iterated convolution and their applications to physical problems. We also get the inequality ∥∥∥∥∥∥ ∑ m ⎛ ⎝ r ∏ j=1 ∗(Fm,jρm,j) ⎞ ⎠ ⎛ ⎝ r ∏ j=1 ∗|ρm,j| ⎞ ⎠ 1 p−1 ∥∥∥∥∥∥ Lp(Rn) ∑ m r ∏ j=1 ‖Fm,j‖Lp(Rn,|ρm ...
N. D. Nhan, D. T. Duc
semanticscholar   +1 more source

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