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

In this paper, we determine properties of the coefficients of the integral operator <italic>Gα</italic>1, <italic>α</italic>2,...,<italic>αn</italic>,<italic>β</italic> . We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation <inline-formula>
<alternatives>
<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_gm-2023-0001_eq_001.png"></inline-graphic>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>g</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><mfrac><mn>1</mn><mrow><mi>f</mi><mrow><mo>(</mo><mrow><mfrac><mn>1</mn><mi>z</mi></mfrac></mrow><mo>)</mo></mrow></mrow></mfrac></mrow></math>
<tex-math>g\left( z \right) = {1 \over {f\left( {{1 \over z}} \right)}}</tex-math>
</alternatives>
</inline-formula>.
</abstract>

Faculty of Mathematics and Computer Science Department of Mathematics

“1 Decembrie 1918” University of Alba Iulia

Properties of the coefficients of an integral operator

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

In this scientific research note, certain necessary-basic information in relation to some types of the operators specified by fractional calculus of arbitrary order will be firstly introduced, various argument properties of certain analytic functions specified by those fractional-order type operators will be then determined, and a number of special consequences of those extensive properties will be also pointed out.
</abstract>

Various fractional-order type operators and some of their implications to certain normalized functions analytic in the open unit disc

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

In 2013, Azadifar et al. [<xref ref-type="bibr" rid="j_gm-2023-0003_ref_003">3</xref>] established fixed point result in integral type contraction in modular metric space and 2020, Chaira et al.[<xref ref-type="bibr" rid="j_gm-2023-0003_ref_011">11</xref>] established some extensions of Fixed Point Theorems for Weak-Contraction Mapping in Partially Ordered Modular Metric Spaces.
In this paper we have established some common fixed point results in integral type contractions in modular and convex modular metric spaces.
</abstract>

Fixed Point Theorems for Integral-type Weak-Contraction Mappings in Modular Metric Spaces

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

The purpose of this paper is to establish convergence and stability of Jungck -modified three-step iterations for three nonself mappings in a Banach space. The results obtained in this paper extend and improve the recent ones announced by Khan et al., Olatinwo, Hussain et al. and many papers.
</abstract>

Stability and convergence of Jungck-modified three-step iteration scheme using contractive condition

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

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the <italic>C</italic>-class function and <italic>T </italic>-weak commutativity. Finally, we give an example to illustrate our result.
</abstract>

Coincidence and Common Fixed Point Theorems for Hybrid Mappings

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

In this article we present a method to get upper bound for some integrals. The method is in connection with on a generalized trapezoidal quadrature formula. Applications for upper bounds of the elliptical integral of the first kind are presented. We compare these bounds with some previous results from the literature.
</abstract>

Some bounds for the elliptical integral of the first kind

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

To approximate a function, some simpler functions are used: simpler as definitory structure (formula) and also as regularity, continuity and/or smoothness.
Any Lipschitz function is a uniformly continuous function, but conversely it not always true. We add to the usual examples some other, especially of the class of differentiable functions.
</abstract>

Valahia University of Târgovişte (retired)

About uniform continuous functions which are not Lipschitz

AHEAD OF PRINT

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

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

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

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

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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. 