Results 21 to 30 of about 84 (46)
Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data
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
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
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
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
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
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
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
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
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
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