Dunkl generalization of Szász beta-type operators
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DOI: 10.1002/mma.4555
Abstract: The goal in the paper is to advertise Dunkl extension of Szasz beta-type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus… read more here.
Keywords: type operators; dunkl generalization; beta type;
Generalized Bernstein‐Kantorovich–type operators on a triangle
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DOI: 10.1002/mma.5656
Abstract: In this note, we construct generalized Bernstein‐Kantorovich–type operators on a triangle. The concern of this note is to present a Voronovskaja‐type and Grüss Voronovskaja‐type asymptotic theorems, and some estimates of the rate of approximation with… read more here.
Keywords: kantorovich type; bernstein kantorovich; generalized bernstein; type operators ... See more keywords
Harnack inequality for Ornstein–Uhlenbeck type operators
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DOI: 10.1007/s00013-019-01429-z
Abstract: We prove Harnack type inequalities for non-negative weak solutions in $$(0,T]\times \mathbb {R}^N$$ ( 0 , T ] × R N of parabolic problems related to operators of the type $$L=\hbox {div}\,\left( Q(t,x)\nabla \right) +\langle… read more here.
Keywords: harnack inequality; inequality ornstein; ornstein uhlenbeck; type operators ... See more keywords
The Precise Norm of a Class of Forelli-Rudin Type Operators on the Siegel Upper Half Space
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DOI: 10.1007/s10473-021-0508-3
Abstract: The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implies the upper Lp norm estimate of the… read more here.
Keywords: class forelli; precise norm; rudin type; type operators ... See more keywords
Dunkl-Gamma Type Operators Including Appell Polynomials
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DOI: 10.1007/s11785-019-00942-x
Abstract: The aim of the present paper is to introduce Dunkl-Gamma type operators in terms of Appell polynomials and to investigate approximating properties of these operators. read more here.
Keywords: type operators; dunkl gamma; operators including; gamma type ... See more keywords
Carleson Measures and Toeplitz Type Operators on Hardy Type Tent Spaces
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DOI: 10.1007/s11785-021-01113-7
Abstract: In this paper, we obtain some characterizations on Carleson measures for Hardy type tent spaces on the unit ball through products of functions. As applications, we characterize the boundedness and compactness of Toeplitz type operators… read more here.
Keywords: type operators; carleson measures; hardy type; toeplitz type ... See more keywords
Hypoellipticity of Fediĭ’s type operators under Morimoto’s logarithmic condition
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DOI: 10.1007/s11868-018-0272-x
Abstract: We prove hypoellipticity of second order linear operators on $$\mathbb {R}^{n+m}$$Rn+m of the form $$L(x,y,D_x,D_y) = L_1(x,D_x) + g(x) L_2(y,D_y)$$L(x,y,Dx,Dy)=L1(x,Dx)+g(x)L2(y,Dy), where $$L_j$$Lj, $$j=1,2$$j=1,2, satisfy Morimoto’s super-logarithmic estimates $$||\log \!\left^2 \hat{u}(\xi )||^2 \le \varepsilon (L_j u,u)… read more here.
Keywords: fedi type; operators morimoto; type operators; hypoellipticity ... See more keywords
Weighting Shepard-type operators
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DOI: 10.1007/s40314-015-0263-y
Abstract: Uniform approximation error estimates for weighted Shepard-type operators more flexible than the unweighted analogues are given. Error estimates for a linear combination of their iterates faster converging than previous ones are also showed. The results… read more here.
Keywords: type; weighting shepard; shepard type; type operators ... See more keywords
Weighted Composition Lambert-Type Operators via Matrix Representation
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DOI: 10.1007/s41980-019-00224-4
Abstract: In this note, we discuss matrix theoretic characterizations for weighted composition Lambert-type operators of the form \(T_{\varphi }: = M_{w}EM_{u}C_\varphi \) in some operator classes on \(\ell ^2(\mathbb {N}_0),\) such as quasinormal, hyponormal, binormal, n-hyponormal,… read more here.
Keywords: lambert type; composition lambert; type operators; weighted composition ... See more keywords
Volterra type operators on Sp(D) spaces
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DOI: 10.1016/j.jmaa.2018.01.038
Abstract: Abstract Cuckovic and Paudyal characterized the lattice of invariant subspaces of the operator T in the Hardy–Hilbert space H 2 ( D ) , where they studied the special case (when p = 2 )… read more here.
Keywords: type; operators spaces; type operators; volterra type ... See more keywords
On the martingale problem and Feller and strong Feller properties for weakly coupled Lévy type operators
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DOI: 10.1016/j.spa.2018.02.005
Abstract: Abstract This paper considers the martingale problem for a class of weakly coupled Levy type operators. It is shown that under some mild conditions, the martingale problem is well-posed and uniquely determines a strong Markov… read more here.
Keywords: feller; martingale problem; type operators; weakly coupled ... See more keywords