Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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New information inequalities on new generalized f-divergence and applications
Get PDFIn this work, we introduce new information inequalities on new generalized f-divergence in terms of well known Chi-square divergence. Further we obtain relations of other standard divergence as an application of new inequalities by using Logarithmic power mean and Identric mean, together with numerical verification by taking two discrete probability distributions: Binomial and Poisson
Pattern classification through fuzzy likelihood
Get PDFThis paper introduces a novel way to compute the membership function of a fuzzy set approximating the distribution of some observed data starting with their histogram. This membership function is in turn used to obtain a posteriori probability through a suitable version of the Bayesian formula. The ordering imposed by an overtaking relation between fuzzy numbers translates immediately into a dominance of the a posteriori probability of a class over another for a given observed value. In this way a crisp classification is eventually obtained
Relation between dual S-algebras and BE-algebras
Get PDFIn this paper, we investigate the relationship between dual (Weak) Subtraction algebras, Heyting algebras and BE-algebras. In fact, the purpose of this paper is to show that BE-algebra is a generalization of Heyting algebra and dual (Weak) Subtraction algebras. Also, we show that a bounded commutative self distributive BE-algebra is equivalent to the Heyting algebra.
On graded n−absorbing submodules
Get PDFLet G be a group with identity e. Let R be a G−graded commutative ring, M be a graded R−module and n be a positive integer. In this article, we introduce and study the concepts of graded n−absorbing submodules. Various properties of graded n−absorbing submodules are considered. For example, we show that if R is a Noetherian G− graded ring and M is a finitely generated graded R−module, then every nonzero proper graded submodule of M is a graded n−absorbing submodule of M for some positive integer n
On a new class of p-valent functions with negative coefficients defined by convolution
Get PDFIn this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and convexity and closure theorems of functions in this class
On stability for nonlinear implicit fractional differential equations
Get PDFThe purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order differential equation
Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
Get PDFBy utilizing two fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Some applications to special means of real numbers are given
Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions
Get PDFWe investigate the regularity in L^p (p>2) of the gradient of any weak solution of a Cauchy problem with mixed Neumann-power type boundary conditions. Under suitable assumptions we prove the existence of weak solutions that satisfy explicit estimates. Some considerations on the steady-state regularity are discussed
On q²-analogue Sobolev type spaces
No full textThis paper is devoted to define the q^2-Sobolev type spaces on R_q by using the q^2-analogue Fourier transform and its inverse. In particular, we provide the readers for some embedding results with these spaces.The next part is devoted to the study of the related q^2-potential analysis and some of its properties