Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators

Özge Özalp Güller

doi:10.47000/tjmcs.1794817

Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators

Abstract

In [29], a new class of nonlinear Bernstein--Chlodowsky operators of max-product type based on $q$-integers was introduced, and corresponding error estimations were established. The present work is devoted to a further investigation of these operators with particular emphasis on their shape-preserving properties. Specifically, we examine the preservation of structural features such as monotonicity, convexity under the action of the proposed operators. These properties are essential in various applications of approximation theory. The results presented here extend the foundational work in [29] and contribute to a deeper understanding of the qualitative behavior of $q$-based max-product type operators within the framework of nonlinear approximation.

Keywords

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Özge Özalp Güller ^*
0000-0002-3775-3757
Türkiye

Publication Date

June 30, 2026

Submission Date

October 1, 2025

Acceptance Date

December 20, 2025

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1794817

IZ

https://izlik.org/JA35RP27BC

Cite

RIS / Bibtex

APA

Özalp Güller, Ö. (2026). Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators. Turkish Journal of Mathematics and Computer Science, 18(2), 350-358. https://doi.org/10.47000/tjmcs.1794817

AMA

1.Özalp Güller Ö. Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators. TJMCS. 2026;18(2):350-358. doi:10.47000/tjmcs.1794817

Chicago

Özalp Güller, Özge. 2026. “Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science 18 (2): 350-58. https://doi.org/10.47000/tjmcs.1794817.

EndNote

Özalp Güller Ö (June 1, 2026) Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators. Turkish Journal of Mathematics and Computer Science 18 2 350–358.

IEEE

[1]Ö. Özalp Güller, “Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators”, TJMCS, vol. 18, no. 2, pp. 350–358, June 2026, doi: 10.47000/tjmcs.1794817.

ISNAD

Özalp Güller, Özge. “Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 350-358. https://doi.org/10.47000/tjmcs.1794817.

JAMA

1.Özalp Güller Ö. Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators. TJMCS. 2026;18:350–358.

MLA

Özalp Güller, Özge. “Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 350-8, doi:10.47000/tjmcs.1794817.

Vancouver

1.Özge Özalp Güller. Shape-Preserving Properties of Max-Product Type Nonlinear $q-$Bernstein–Chlodowsky Operators. TJMCS. 2026 Jun. 1;18(2):350-8. doi:10.47000/tjmcs.1794817