Results 131 to 140 of about 79,515 (172)

Bernstein-nikolskii-stechkin inequality and Jackson’s theorem for the index Whittaker transform

ANNALI DELL'UNIVERSITA' DI FERRARA, 2023
In this paper, the author considers the index Whittaker transform given by \[ F_W(f)(\lambda)=\int_0^{+\infty}f(x)K_\alpha(\lambda,x)d\mu_\alpha(x)\,,\quad\lambda\geq0,\quad f\in\mathrm{L}^1(\mu_\alpha), \] where \(\mu_\alpha\) is a weight Lebesgue measure and \(K_\alpha(\lambda,x)\) is the so-called index Whittaker kernel. The author defines the index
Mohamed Amine Boubatra
openaire   +2 more sources

Parseval-Goldstein type theorems for the index Whittaker transform

Integral Transforms and Special Functions
This paper aims to derive Parseval-Goldstein type relations for the index Whittaker transform. Additionally, the study explores the continuity properties of both the index Whittaker transform and its adjoint over Lebesgue spaces.
Jeetendrasingh Maan, E. R. Negrín
openaire   +2 more sources

Wave packet transform and wavelet convolution product involving the index Whittaker transform

The Ramanujan Journal
The paper is subscribed under the whole framework of wavelet analysis. The authors combine many concepts to develop a special wavelet analysis of functions. Based on the concept of index Whittaker transform, a wave packet transform and a wavelet convolution product are introduced leading to a Whittaker wavelet version and its associated Whittaker ...
Maan, Jeetendrasingh, Prasad, Akhilesh
openaire   +2 more sources

Donoho-Stark uncertainty principle associated to the index Whittaker wavelet transform

Journal of Pseudo-Differential Operators and Applications
The authors consider the Whittaker transform, \[ (\Psi_a f)(\tau)=\int_0^\infty f(x) x^{a+i\tau}\Psi(a+i\tau,1+2i\tau;x)m_a(x)\,dx,\quad \tau\geq 0, \] where the kernel is the Whittaker function, \(f\) is defined on \(\mathbb{R}_+=(0,\infty)\), and \(m_a(x)=x^{-2a-1}e^{-x}\).
Dades, Abdelaali, Tyr, Othman, Daher, Radouan   +2 more
openaire   +3 more sources

Index Whittaker transforms over Lebesgue spaces

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maan, Jeetendrasingh, Negrín, E. R.
openaire   +3 more sources

Boundedness properties and Parseval-type relations for the index Whittaker transforms over Lebesgue spaces

Asian-European Journal of Mathematics
The aim of this paper is to conduct a detailed study of the index Whittaker transform over Lebesgue spaces, focusing on its continuity properties and Parseval-type relations. The analysis relies on establishing weighted norm inequalities and utilizing integral kernel estimates to derive these relations.
H. M. Srivastava, Jeetendrasingh Maan, E. R. Negrín   +2 more
openaire   +2 more sources

Abelian theorems for a variant of the index Whittaker transform over $$ \mathscr{E'}(\mathbb{R}_+)$$

Analysis Mathematica
Maan, J., González, B. J., Negrin, E. R.   +2 more
openaire   +3 more sources

A Pair of Pseudo-differential Operators Involving Index Whittaker Transform in La2(ℝ+;ma(x)dx)

Acta Mathematica Sinica, English Series
Jeetendrasingh Maan, Akhilesh Prasad
openaire   +2 more sources

Riesz potentials and fractional maximal operators associated with the index Whittaker transform

Complex Variables and Elliptic Equations
Mohamed Amine Boubatra
openaire   +2 more sources

A Class of Index Transforms with Whittaker's Function as the Kernel

The Quarterly Journal of Mathematics, 1998
The authors investigate an index transform associated with Whittaker's function \(W_{\mu,i\tau}(x)\), which has been defined by \[ [W_\mu f] (x)= \int^\infty_{-\infty} \tau\Gamma \left( \textstyle {{1\over 2}} -\mu-i\tau \right) \Gamma \left (\textstyle {1\over 2} -\mu+i \tau\right) W_{\mu,i\tau} (x)f(\tau) d \tau\;(x>0).
Srivastava, H.M., Vasil'ev, Yu.V., Yakubovich, S.B.   +2 more
openaire   +3 more sources