Results 31 to 40 of about 307 (63)

Inequalities for the Hartley-Fourier cosine polyconvolution

, 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

On spectral properties of the modified convolution operator

Journal 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, Esmukhanbet Smailov, N. Tleukhanova   +2 more
semanticscholar   +2 more sources

Hartley-Fourier cosine generalized convolution inequalities

, 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 ...
Hoang Thi Van Anh, N. X. Thao
semanticscholar   +1 more source

On a new approach to convolution constructions

, 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

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

Exact Solutions of Nonlocal Pluriparabolic Problems [PDF]

, 2012
MSC 2010: 44A35 ...
Chobanov, Georgi, Dimovski, Ivan
core  

Randomly stopped maximum and maximum of sums with consistently varying distributions

, 2017
Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables, and $\eta$ be a counting random variable independent of this sequence. In addition, let $S_0:=0$ and $S_n:=\xi_1+\xi_2+\cdots+\xi_n$ for $n\geqslant1$. We consider conditions for
Andrulytė, Ieva Marija, Manstavičius, Martynas, Šiaulys, Jonas   +2 more
core   +1 more source

Commutants of the Dunkl Operators in C(R) [PDF]

, 2006
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Dimovski, Ivan, Hristov, Valentin, Sifi, Mohamed   +2 more
core   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
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