Results 31 to 40 of about 84 (46)

New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations

Demonstratio Mathematica
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai   +2 more
doaj   +1 more source

On some convolution norm inequalities in weighted L_p(ℝ^n,ρ) spaces and their applications

, 2008
In this paper, we give the inequalities in convolutions in weighted Lp(R,ρ) spaces and their important applications to partial differential equations and integral transforms.
D. T. Duc, N. D. Nhan
semanticscholar   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Nonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain   +2 more
doaj   +1 more source

The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
doaj   +1 more source

On some reverse weighted L_p(ℝ^n)-norm inequalities in convolutions and their applications

, 2009
In this paper, we give the reverse weighted Lp(R) norm inequalities and their important applications to studying stability of some inverse problems. Especially, we will see their applications to inverse problems in non-homogeneous linear differential ...
D. T. Duc, N. D. Nhan
semanticscholar   +1 more source

Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]

Entropy (Basel), 2022
Srivastava HM, Lone WZ, Shah FA, Zayed AI.   +3 more
europepmc   +1 more source

Modelling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography. [PDF]

J Inverse Ill Posed Probl, 2020
Kazantsev IG, Matej S, Lewitt RM, Olsen UL, Poulsen HF, Yarovenko IP, Prokhorov IV.   +6 more
europepmc   +1 more source

Theoretical analysis of J-transform decomposition method with applications of nonlinear ordinary differentialequations. [PDF]

Sci Prog
Obeidat NA, Rawashdeh MS, Al Smadi MN.
europepmc   +1 more source