Sentence examples for operator a class from inspiring English sources

In this paper, by means of the Bernstein Durrmeyer operator, a class of FNNs is constructed which realize the simultaneous approximation of any smooth multivariate function and all its existing partial derivatives.

By using the way of weight coefficient and the theory of operators, we define a Hilbert-type operator with a class of homogeneous kernels and obtain its norm.

The existence and qualitative properties of an exponentially stable resolvent operator for a class of integrodifferential system is studied.

Agarwal et al. studied the existence of solutions for the Riemann-Liouville operator for a class of integro-differential equations of high fractional order [11].

After ward, we utilized the normalized generalized Tremblay operator in a class of analytic functions ( mathcal {A}(m)), with subclasses ( mathcal {S}(m), mathcal {S}_{lambda }^(m)) and ( mathcal {K}_{lambda }(m)) in the open unit disk.

Fefferman and Stein [1] enlarged the multiplier operators onto a class of convolution operators.

It is well known that concave operators are a class of important operators that are extensively used in nonlinear differential and integral equations (see [1 12]).

Born Jordan operators are a class of pseudodifferential operators arising as a generalization of the quantization rule for polynomials on the phase space introduced by Born and Jordan in 1925.

Remark A typical example of strongly singular integral operators is a class of multiplier operators whose symbol is given by exp ( i | ξ | ε ) / | ξ | δ for 0 < ε < 1 and δ > 0 [18–22] 22].

In this paper we extend an elegant result of C. C. Cowen [Proc. Amer. Math. Soc.103 (1988), 809-812] on the hyponormality of Toeplitz operators to a class of (generalized) Toeplitz operators.

In this paper, we consider Toeplitz operators on a class of analytic function spaces, including standard Bergman spaces on the unit disc and Bargman Fock spaces.