Sentence examples for classes of functions from inspiring English sources

Such spaces, an essential tool of functional analysis and vector theory, allow analysis of classes of functions rather than individual functions.

Constructing PRGs for interesting classes of functions is a central goal in complexity theory.

We analytically compute the asymptotic Fourier coefficients for several classes of functions to answer two questions.

For some classes of functions, these two bounds coincide modulo a multiplicative factor.

Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions, Soviet Math.

Riemann's insight was that other surfaces can also be provided with complex coordinates, and certain classes of functions belong to certain surfaces.

In this paper we improve the estimates obtained in Aleksandrov and Peller (2010) [2] for certain special classes of functions.

We propose a family of maps that provide a natural connection and generalization of these two classes of functions.

Characterizations for these classes of functions are established by connecting the canonical factorizations of the product function and the original generalized Nevanlinna function in a constructive manner.

This understanding is also extended and discussed for other classes of functions, and represents from our point of view the abstract description of the concept of duality.

We provide a sharp criterion in term of generalized principal eigenvalues for existence/nonexistence of positive solution of (Pβ) in suitable classes of functions.