<abstract xmlns="http://www.w3.org/1999/xhtml">In the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic functions containing generalized differential operator. Also we determine important properties for functions belongs to these classes.</abstract>

Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

<abstract xmlns="http://www.w3.org/1999/xhtml">In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.</abstract>

Certain basic information related to the Tremblay operator and some applications in connection therewith

<abstract xmlns="http://www.w3.org/1999/xhtml">In the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common ∈−fixed points is tending to zero as ∈ tends to zero.</abstract>

On Some Common Approximate Fixed Point Theorems

<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we have introduced two new types of sets termed as 𝕀*<italic>µ</italic> sets and strongly 𝕀*<italic>µ</italic> -open sets and discussed some of its properties. The relation between similar types of sets, characterizations and some basic properties of such sets have been studied.</abstract>

𝕀*<italic>µ</italic> open sets in generalized topological spaces

<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we introduce a new general integral operator for analytic functions in the open unit disk 𝕌 and we obtain sufficient conditions for univalence of this integral operator.</abstract>

Faculty of Mathematics and Computer Sciences, Department of Mathematics

”1 Decembrie 1918” University of Alba Iulia

Faculty of Science, Department of Mathematics

Univalence Criteria for a General Integral Operator

<abstract xmlns="http://www.w3.org/1999/xhtml">A new subfamily of <italic>p</italic>–valent analytic functions with negative coefficients in terms of <italic>q</italic>–analogue of generalized Ruschweyh operator is considered. Several properties concerning coefficient bounds, weighted and arithmetic mean, radii of starlikeness, convexity and close-to-convexity are obtained. A family of class preserving integral operators and integral representation are also indicated.</abstract>

Faculty of Science, Department of Mathematics and Computer Science

<italic>q</italic>–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper an improved error bound is obtained for the complete quartic spline with deficiency 2, in the less smooth class of continuous functions. In the case of Lipschitzian functions, the obtained estimate improves the constant from Theorem 3, in J. Approx. Theory 58 (1989) 58-67. Some applications of the complete quartic spline in the numerical integration and in the construction of an iterative numerical method for fourth order two-point boundary value problems with pantograph type delay are presented.</abstract>

Faculty of Informatics and Sciences. Department of Mathematics and Informatics

Faculty of Informatics and Sciences, Department of Mathematics and Informatics

Improved error estimate and applications of the complete quartic spline

<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we obtain estimations of the errors in approximation by positive linear operators which fix certain functions. We use both the first and the second order classical moduli of smoothness and a generalized modulus of continuity of order two. Some applications involving Bernstein type operators, Kantorovich type operators and genuine Bernstein-Durrmeyer type operators are presented.</abstract>

Quantitative results for positive linear operators which preserve certain functions

<abstract xmlns="http://www.w3.org/1999/xhtml">We consider classical entropies associated with several continuous distributions of probabilities. Explicit expressions and properties of them are presented.</abstract>

Faculty of Automation and Computer Science, Department of Mathematics

Entropies related to integral 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 27 (2019): Issue 2 (December 2019)

Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

Certain basic information related to the Tremblay operator and some applications in connection therewith

On Some Common Approximate Fixed Point Theorems

𝕀*_µ open sets in generalized topological spaces

Univalence Criteria for a General Integral Operator

q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Improved error estimate and applications of the complete quartic spline

Quantitative results for positive linear operators which preserve certain functions

Entropies related to integral operators

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