<abstract xmlns="http://www.w3.org/1999/xhtml">

We are concerned with a family of Markov operators and some modifications of them. Differences involving such operators are studied. We compare their Voronovskaya formulas and determine the limits of their iterates.
</abstract>

Differences of classical and modified operators

<abstract xmlns="http://www.w3.org/1999/xhtml">

A new continuous distribution is proposed using Epanechnikov kernel function and the exponential distribution. This distribution is called the Epanechnikov-exponential distribution. Some properties of this distribution are studied. A simulation study is conducted to calculate the mean and the standard deviation of this distribution and to investigate the behavior of MLE to conserve the consistency property. An application to a real data set is conducted, it showed that he new distribution is more flexible than the exponential distribution.
</abstract>

Faculty of Science, Department of Mathematics

Epanechnikov-exponential distribution: properties and applications

<abstract xmlns="http://www.w3.org/1999/xhtml">

The purpose of this paper is to prove a common fixed point theorem for a pair of mappings satisfying an implicit relation, generalizing the main results from [6], [10], [11], [13] and other papers.
</abstract>

“Vasile Alecsandri” University of Bacău

“Dunărea de Jos” University of Galaţi

Faculty of Sciences and Environment, Department of Mathematics and Computer Sciences

A general common fixed point theorem for a pair of mappings in <italic>S</italic> - metric spaces

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this current study, we introduce and investigate a new subclass of holormorphic and bi-univalent functions 𝕰 <italic>η,ϕ</italic><italic>q</italic>(<italic>ϑ</italic>) in the unit disk λ associated with <italic>q</italic>-derivative operator. The coefficient estimates |<italic>b</italic>2| and |<italic>b</italic>3| on the new subclass are obtained and important results are indicated.
</abstract>

Coefficient estimates for a subclass of bi-univalent functions involving the <italic>q</italic>-derivatives operator

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map.
</abstract>

Ruled surfaces obtained by curves in the lightlike cone

<abstract xmlns="http://www.w3.org/1999/xhtml">

Via Hirota bilinear method and perturbation technique, a more general <italic>N-</italic>soliton solution with a parameter <italic>p</italic> for a (3+1)-dimensional nonlinear evolution equation is obtained. And two <italic>N</italic>-soliton solutions in terms of Wronskian determinant are also presented in the case of <italic>p</italic> = 1 and <italic>p</italic> = 3.
</abstract>

<italic>N</italic>-soliton solutions for a (3+1)-dimensional nonlinear evolution equation

<abstract xmlns="http://www.w3.org/1999/xhtml">

The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].
</abstract>

Faculty of Sciences, Department of Mathematics, Laboratory of Applied Mathematics

A unique common fixed point for a family of set-valued mappings

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed.
</abstract>

Iterative methods for extended general variational inequalities

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this article, by making use of Horadam polynomials, we introduce and investigate a certain family 𝔗Σ (λ, α, β, <italic>k</italic>, <italic>γ</italic>; <italic>x</italic>) of analytic and biunivalent functions associated with Wanas operator which defined in the open unit disk 𝕌. We establish upper bounds for the initial Taylor-Maclaurin coefficients and obtain the Fekete-Szegö inequality of functions belonging to this family. We also point out several certain special cases for our results.
</abstract>

Horadam polynomials and their applications to a certain family of bi-univalent functions defined by Wanas operator

<abstract xmlns="http://www.w3.org/1999/xhtml">

This paper is dealing with a class of operators fixing exponential functions. We study its convergence and an asymptotic formula is obtained. Finally, a comparison is stated, that shows that in a certain particular cases the new sequence approximates better than the classical ones.
</abstract>

The modified Bernstein-Stancu operators

AHEAD OF PRINT

Volume 31 (2023): Issue 2 (December 2023)

Volume 31 (2023): Issue 1 (June 2023)

Volume 30 (2022): Issue 2 (December 2022)

Volume 30 (2022): Issue 1 (June 2022)

Volume 29 (2021): Issue 2 (December 2021)

Volume 29 (2021): Issue 1 (June 2021)

Volume 28 (2020): Issue 2 (December 2020)

Volume 28 (2020): Issue 1 (June 2020)

Volume 27 (2019): Issue 2 (December 2019)

Volume 27 (2019): Issue 1 (June 2019)

General Mathematics

 Publishing House and Owner: Lucian Blaga University of Sibiu, Romania   General Mathematics publishes high quality papers on pure and applied mathematics. To be published in this journal, a paper must contain new ideas and be of interest to a wide range of readers. Survey papers are also welcome.The journal appears in 2 numbers per year and has been published since 1993.It is edited by the Department of Mathematics and Informatics of the “Lucian Blaga” University of Sibiu.  The purpose of General Mathematics is to provide an outlet for high quality original research in all areas of analysis or that having applications in economics, engineering, the life sciences, physics and statistical decision theory.  Coverage touches on a wide variety of topics, including:   Functional analysis and operator theory  Real and harmonic analysis　  Complex analysis　  Numerical analysis　  Applied mathematics　  Partial differential equations　  Dynamical systems　  Control and Optimization　  Probability　  Archiving  Sciendo archives the contents of this journal in Portico - digital long-term preservation service of scholarly books, journals and collections.  Plagiarism Policy  The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process. 

General Mathematics

Volume 29 (2021): Issue 1 (June 2021)

Differences of classical and modified operators

Epanechnikov-exponential distribution: properties and applications

A general common fixed point theorem for a pair of mappings in S - metric spaces

Coefficient estimates for a subclass of bi-univalent functions involving the q-derivatives operator

Ruled surfaces obtained by curves in the lightlike cone

N-soliton solutions for a (3+1)-dimensional nonlinear evolution equation

A unique common fixed point for a family of set-valued mappings

Iterative methods for extended general variational inequalities

Horadam polynomials and their applications to a certain family of bi-univalent functions defined by Wanas operator

The modified Bernstein-Stancu operators

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