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The key idea of the variational approximation is to restrict the class of approximating distributions q.
Subsequently, the linear difference inclusion (LDI) representation is established for this class of approximating MNN.
Now we introduce a class of approximating identities as follows.
In Sect. 3 we establish a class of approximating identities and derive spaces of ultraBoehmians and, further, we extend the fractional integral operator to the defined spaces.
By employing the convolution theorem and making use of an appropriate class of approximating identities, we provide necessary axioms and define function spaces where the fractional Fourier integral operator is an isomorphism connecting the different spaces.
The class (( Delta_{beta }^{tilde{beta }}, ast^{alpha } ) ) forms a class of approximating identities.
Similar(53)
He was best known in British circles for a way of discussing distributions as equivalence classes of approximating smooth functions, an idea that was popular because the old guard didn't want to think about the theory of topological vector spaces central to Schwartz' earlier approach.
One simple and practical method from the first class consists of approximating the number of modules in a protein as the number of regular secondary structure elements (i.e., helices and sheets).
Metaheuristics is a class of approximate methods based on heuristics that can effectively handle real world (usually NP-hard) problems of high-dimensionality with multiple objectives.
Moment methods are an important class of approximate models derived from kinetic equations, but require closure to truncate the moment set.
This paper extends a class of approximate Riemann solvers devised by Harten, Lax and van Leer (HLL) for Euler equations of hydrodynamics to magneto-hydrodynamics (MHD) equations.
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