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

In this paper we introduce a novel extension of generalized Bézier operators by replacing the sample values <inline-formula>
<alternatives>
<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_gm-2022-0010_eq_001.png"></inline-graphic>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>f</mi><mrow><mo>(</mo><mrow><mfrac><mi>k</mi><mi>n</mi></mfrac></mrow><mo>)</mo></mrow></mrow></math>
<tex-math>f\left({{k\overn}}\right)</tex-math>
</alternatives>
</inline-formula> with the wavelet expansion of the function <italic>f. </italic>Using the compactly supported Daubechies wavelets, we construct a wavelet type extension of the generalized Bézier operators defined by Gupta [<xref ref-type="bibr" rid="j_gm-2022-0010_ref_007">7</xref>]. Moreover, we investigate some properties of these operators in some function spaces.
</abstract>

Extension of the generalized Bézier operators by wavelets

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

In this article, two unique common fixed point theorems for four self-maps on a metric-like space by using the concept of occasionally weakly biased maps of type (𝒜) are proved. Our results represent an improvement and extension of some fixed point findings. We justify our results by giving two appropriate examples.
</abstract>

Faculty of Sciences Department of Mathematics, Laboratory of Applied Mathematics

Chadli Ben Djedid University, Faculty of Sciences and Technology

Unique common fixed points in metric-like space

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

The composition ℱ<italic>n </italic>of Rathore and Gamma operators was considered in the literature. We introduce a generalization of ℱ<italic>n</italic>. For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula.
</abstract>

Faculty of Automation and Computer Science Department of Mathematics

Eigenstructure and Voronovskaja type formula for a sequence of integral operators

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

V. Gupta introduced recently the Rathore type operators <italic>Rn,c</italic>. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with <italic>Rn,c</italic>.
</abstract>

Technical University of Cluj-Napoca Faculty of Automation and Computer Science

Faculty of Sciences Department of Mathematics and Informatics

On Rathore type operators

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

Certain convergence estimates for the semi-exponential operators associated with 1 + <italic>x</italic>2 are established including weighted approximation, a direct result involving classical modulus of continuity and quantitative Voronovskaya-type theorem in weighted spaces. Initially, the moments are obtained following a recurrence relation for these operators and then some direct results are estimated.
</abstract>

Convergence estimates of semi-exponential operators associated with 1 + <italic>x</italic>2

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

We define Bézier variant of the <italic>κ</italic>- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.
</abstract>

Department of Mathematics, School of Basic Sciences

Bézier-Bernstein-Schurer type operators

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

In the present research, we estimate some approximation properties for the generalization of a sequence of positive linear operators considered by Holhoş [<xref ref-type="bibr" rid="j_gm-2022-0016_ref_006">6</xref>] with the following operators available in literature as special examples: Szàsz operator, Ismail-May operator associated with <italic>x</italic>(1 + <italic>x</italic>)2. We estimate its recurrence relation, moments and verify the same for its particular cases. Finally, we graphically compare the convergence of this new general operator for a continuous function, examine the convergence for each instance, and come to a conclusion regarding which scenario provides the best approximation.
</abstract>

Approximation properties of a discrete operator

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General Mathematics

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General Mathematics

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

Extension of the generalized Bézier operators by wavelets

Unique common fixed points in metric-like space

Eigenstructure and Voronovskaja type formula for a sequence of integral operators

On Rathore type operators

Convergence estimates of semi-exponential operators associated with 1 + x²

Bézier-Bernstein-Schurer type operators

Approximation properties of a discrete operator

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General Mathematics

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

Extension of the generalized Bézier operators by wavelets

Unique common fixed points in metric-like space

Eigenstructure and Voronovskaja type formula for a sequence of integral operators

On Rathore type operators

Convergence estimates of semi-exponential operators associated with 1 + x2

Bézier-Bernstein-Schurer type operators

Approximation properties of a discrete operator

Cerca

Tutti i volumi ed i numeri in questa rivista

Convergence estimates of semi-exponential operators associated with 1 + x²