Bézier–Bernstein–Durrmeyer type operators

Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves

“…The curves were named after Bezier, and the recursive method of defining curves was named after de Casteljou (de Casteljau's algorithm). To date, Bezier curve formulas are used in many branches of science, and many scientists are also conducting research in this area [24][25][26][27].…”

Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution

“…For more details and further investigations regarding the study of Bézier curves and related operators, we refer to [42][43][44][45][46][47][48][49].…”

Approximation by α$$ \alpha $$‐Bernstein–Schurer operators and shape preserving properties via q$$ q $$‐analogue

“…For further development and related concepts, we refer to see previous studies. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] The q-calculus emerged by mathematicians as a newly fruitful connection between Mathematics and Physics. For the basic tools used by this article, we mention here some basic definitions and facts about the q-calculus.…”

“…For more related approximation properties we refer to see the recent published article given by Alotaibi et al 13,14 There are many recent generalization regarding the Bernstein‐type operators, for example, $$$ \lambda $$$‐Bernstein operators, 15 $$$ \lambda $$$‐Bernstein–Stancu operators, 16 $$$ q $$$‐Bernstein–Stancu operators, 17 $$$ q $$$‐Bernstein–Kantorovich operators, 18 modified $$$ q $$$‐Bernstein–Kantorovich operators, 19 and references therein. For further development and related concepts, we refer to see previous studies 20–34 . The $$$ q $$$‐calculus emerged by mathematicians as a newly fruitful connection between Mathematics and Physics.…”