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ISSN : 1226-0657
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Vol.28 No.4
Abstract
In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.
Abstract
In this paper, we suggest a representation for an inverse transform of the generalized Fourier-Feynman transform on the function space C<sub>a,b</sub>[0, T]. The function space C<sub>a,b</sub>[0, T] is induced by the generalized Brownian motion process with mean function a(t) and variance function b(t). To do this, we study the generalized Fourier-Feynman transform associated with the Gaussian process Ƶ<sub>k</sub> of exponential-type functionals. We then establish that a composition of the Ƶ<sub>k</sub>-generalized Fourier-Feynman transforms acts like an inverse generalized Fourier-Feynman transform.
Abstract
This manuscript is divided into three segments. In the first segment, we formulate a unique common fixed point theorem satisfying generalized Meir-Keeler contraction on partially ordered metric spaces and also give an example to demonstrate the usability of our result. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of some periodic boundary value problems. Our results generalize, extend and improve several well-known results of the existing literature.
Abstract
A characterization of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in 𝑙<sup>2</sup>(ℤ<sub>N</sub>) are discussed by introducing associated semi-frame operators. Gabor type frames in finite dimensional Hilbert spaces are also introduced and discussed.
Abstract
In this study, we consider an efficient and accurate finite difference method for the four underlying asset equity-linked securities (ELS). The numerical method is based on the operator splitting method with non-uniform grids for the underlying assets. Even though the numerical scheme is implicit, we solve the system of discrete equations in explicit manner using the Thomas algorithm for the tri-diagonal matrix resulting from the system of discrete equations. Therefore, we can use a relatively large time step and the computation of the ELS option pricing is fast. We perform characteristic computational test. The numerical test confirm the usefulness of the proposed method for pricing the four underlying asset equity-linked securities.
Abstract
In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.
Abstract
In this paper we wish to establish the integral representations of generalized relative order (𝛼, 𝛽) and generalized relative type (𝛼, 𝛽) of entire and meromorphic functions where 𝛼 and 𝛽 are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.
Abstract
In this paper, we use theta-function identities involving parameters 𝑙<sub>5,n</sub>, 𝑙'<sub>5,n</sub>, and 𝑙'<sub>5,4n</sub> to evaluate the Rogers-Ramanujan continued fractions <TEX>$R(e^{-2{\pi}{\sqrt{n/20}}})$</TEX> and <TEX>$S(e^{-{\pi}{\sqrt{n/5}}})$</TEX> for some positive rational numbers n.
Abstract
In this paper, we will find solutions and investigate the superstability bounded by constant for the p-radical functional equations as follows: <TEX>$f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=\;\{(i)\;f(x)f(y),\\(ii)\;g(x)f(y),\\(iii)\;f(x)g(y),\\(iv)\;g(x)g(y).$</TEX> with respect to the sine functional equation, where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebra.
Abstract
We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree d ≥ 5, and give some examples to show the existence of them.