Results 31 to 40 of about 656,740 (269)

A New General Integral Operator Defined by Al-Oboudi Differential Operator

Journal of Inequalities and Applications, 2009
We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.
Bulut Serap
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Magnetic Fourier integral operators [PDF]

Journal of Pseudo-Differential Operators and Applications, 2011
In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory to the case with a magnetic field, proving composition theorems, continuity theorems in 'magnetic ...
Iftimie, Viorel, Purice, Radu
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Jakubowski starlike integral operators [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984
AbstractLet S(m, M) be the set of functions regular and satisfying │zf′(z)/f(z) – m│< M in │z│ <1, where│m –│ <M;≦ m; and let S*(p) be the set of starlike functions of order p, 0≦ p <1. In this paper we obtain integral operators which map S(m, M) into S(mM) and S* (p) × S(mM) into S*(p).
Kumar, Vinod, Shukla, S. L.
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Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators

Nonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +2 more
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Continuous Compressed Sensing Hilbert-Schmidt Integral Operator

IEEE Access, 2022
Continuous Compressed-Sensing-Karhunen-Loéve Expansion (CS-KLE) has been proposed. Compressed sensing has been proposed as a highly efficient computational method to represent compressible signals using a few numbers of linear functional.
Mohammadreza Robaei, Robert Akl
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Distorted Hankel integral operators [PDF]

Indiana University Mathematics Journal, 2004
For $\a,\b>0$ and for a locally integrable function (or, more generally, a distribution) $\f$ on $(0,\be)$, we study integral ooperators ${\frak G}^{\a,\b}_\f$ on $L^2(\R_+)$ defined by $\big({\frak G}^{\a,\b}_\f f\big)(x)=\int_{\R_+}\f\big(x^\a+y^\b\big)f(y)dy$.
Aleksandrov, A. B., Peller, V. V.
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Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo   +4 more
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Moment problems for operator polynomials

, 2012
We extend Haviland's theorem on the integral representation of positive linear functionals on usual (real multivariate) polynomials to the integral representation of positive linear maps on operator polynomials mapping into the space of operators.
Aljaž Zalar, Ambrozie, Berberian, Cimprič, Cimprič, Conway, Dette, Dobrakov, Dobrakov, Dritschel, Durán, Hol, Jacobi, Jaka Cimprič, Klep, Kovalishina, Krein, Li, Marshall, Powers, Putinar, Putinar, Putinar, Riesz, Rosenblatt, Rosenblum, Schmüdgen, Schmüdgen, Schmüdgen, Vasilescu   +29 more
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Convolution Integral Operators

Siberian Mathematical Journal, 2018
The author considers the space $L_2:=L_2(\mathbb{R}^N)$ consisting of the measurable and square-integrable functions on $\mathbb{R}^{N}$. As in the work by \textit{L. Hörmander} [Acta Math. 104, 93--140 (1960; Zbl 0093.11402)], the author considers the space $L_2^2$ being the set of all continuous linear operators in $L_2$ which commute with shifts ...
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Volume integral equations for electromagnetic scattering in two dimensions

, 2015
We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle.
Costabel, Martin, Darrigrand, Eric, Sakly, Hamdi   +2 more
core   +4 more sources