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Apr 30, 2021Open Access
In this work, a new class of analytic and univalent functions , , with respect to other points that include symmetrical and conjugats in the unit disk are studied. The estimated coefficients are calculated respectively for each class of functions. The fractional calculus techniques where were used to study the distortion theorem. The fractional integral operator was used to satistfy the analytic function f(z) in a simply-connected region of the z-plane containing the origin on a class , and ...
Oct 30, 2020Open Access
This article proposes a new algebraic structure that goes beyond the vector space, named sector space. We show that this new space is associated with projective spaces as vector space is associated with affine spaces. Parallelly, we suggest two other algebraic structures which extend the notions of group and field. Notions of element not reducible to a point (extended object), of ternary structure (extension of the binary notion of the linear group) and of complementary association (bifocal cons...
Jul 17, 2020Open Access
In this work, intended for future teachers, we present a solution of a geometric locus problem using the GeoGebra software. This allows first to visualize the shape of the geometric locus, then to state a conjecture to validate a solution founded by analytical geometry methods. The search for a geometric locus using GeoGebra software makes the activity more attractive.
Dec 23, 2019Open Access
The purpose of this work is to study the construction of complete (ki,i)-arcs in PG(2,9), where i=q,9-1,...2 by eliminating points from a complete (kn,n)-arc to get a complete(km,m)-arc, where m < n. And we adopted a new sequential way to delete points [1] [2].
Oct 25, 2017Open Access
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie ...
Aug 23, 2016Open Access
We prove that e＋π is a transcendental number. We use
proof by contradiction. The key to solve the problem is to establish a function
that doesn’t satisfy the relational expression that we derive, thereby produce
a conflicting result which can verify our assumption is incorrect.
Mar 24, 2014Open Access
In the first part of this work, a convex partition of a compact subset is constructed. Minimum-length surrounding curve and minimum-area surrounding surfaces for a compact set are constructed too. In the second part, one writes the perimeter of an ellipse as the sum of an alternate series. On the other hand, we deduce related “sandwich” inequalities for the perimeter, involving Jensen’s inequality and logarithmic function respectively. We discuss the values of the ordinate of the gravity center ...
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