Annals of Communications in Mathematics

AbstractHere we research the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative of fractional derivatives. Our operators are defined by using a density function generated by a q-deformed and β-parametrized half hyperbolic tangent function, which is a sigmoid function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer.

AbstractIn this article, we introduced the notions of NjmX-semi-open sets, semiinterior and semi-closure operators in neutrosophic biminimal structures. We investigate some basic properties of such notions. Also, we introduced the notion of NjmX-semicontinuous maps and study characterizations of NjmX-semi-continuous maps by using the semi-interior and semi-closure operators in neutrosophic biminimal structures.

AbstractIn this paper, nIg-closed sets and nIg-open sets are used to define and investigate a new class of maps called contra nIg-continuous maps in nano ideal topological spaces. We discuss the relationship with some other related maps.

AbstractHere we research the univariate quantitative approximation of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. We perform also the related Banach space valued ractional approximation. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional derivaties. Our operators are defined by using a density function induced by a parametrized error function. The approximations are pointwise and with respect to the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer. We finish with a convergence analysis.

AbstractIn this paper, an extension of the fermatean uncertainty soft subgroup structures under a norm. Also, the cubic fermatean uncertainty soft ideal structures and fermatean uncertainty multigroup over multi-homomorphism are discussed in detail.

AbstractIn this work we introduce and study the concepts of algebraicness, and continuity on transitive binary relational sets ( so called T RS). Some interactions between these concepts are investigated. Further more a characterization of continuous directed complete posets and Algebraic T RS are studied. Our results are generalizations of corresponding results in posets.

AbstractWe present the list of maximal projective plane curves containing conics and those which are arrangements of conics. The number of rational points and the corresponding polynomials are given. The third highest number of points of projective curves of degree d over a finite field Fq (d < [q/3]) is associated only to some linear curves. We show that for q/2 + 2 < d < q, this is no longer the case: the third highest number of points can also be obtained by some curves containing a conic. Throughout this work, we obtain some bounds concerning the number of Fq-points of curves with linear, conic and cubic factors. these bounds apply (not sharply) to irreducible curves