Probabilistic degenerate Bernstein polynomials by Jinyu Wang, Yuankui Ma, Taekyun Kim, Dae San Kim

Subjects: “…Probabilistic degenerate Bernstein polynomials associated with Y…”
Get full text

On the -Bernstein Polynomials of Unbounded Functions with by Sofiya Ostrovska, Ahmet Yaşar Özban

“…The aim of this paper is to present new results related to the -Bernstein polynomials of unbounded functions in the case and to illustrate those results using numerical examples. …”
Get full text

A Note on the Modified q-Bernstein Polynomials by Taekyun Kim, Lee-Chae Jang, Heungsu Yi

“…We propose the modified q-Bernstein polynomials of degree n which are different q-Bernstein polynomials of Phillips (1997). …”
Get full text

On Bernstein Polynomials Method to the System of Abel Integral Equations by A. Jafarian, S. Measoomy Nia, Alireza K. Golmankhaneh, D. Baleanu

“…This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. …”
Get full text

On the Sets of Convergence for Sequences of the 𝑞-Bernstein Polynomials with 𝑞>1 by Sofiya Ostrovska, Ahmet Yaşar Özban

“…The aim of this paper is to present new results related to the convergence of the sequence of the 𝑞-Bernstein polynomials {𝐵𝑛,𝑞(𝑓;𝑥)} in the case 𝑞>1, where 𝑓 is a continuous function on [0,1]. …”
Get full text

On 𝑝-Adic Analogue of 𝑞-Bernstein Polynomials and Related Integrals by T. Kim, J. Choi, Y. H. Kim, L. C. Jang

“…Recently, Kim's work (in press) introduced 𝑞-Bernstein polynomials which are different Phillips' 𝑞-Bernstein polynomials introduced in the work by (Phillips, 1996; 1997). …”
Get full text

On q-Euler Numbers Related to the Modified q-Bernstein Polynomials by Min-Soo Kim, Daeyeoul Kim, Taekyun Kim

“…Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ℤp.…”
Get full text

Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments by A. Mirjalili, M. M. Yazdanpanah, Z. Moradi

“…Following that we combine the truncated Mellin moments with the Bernstein polynomials. As a result, Bernstein averages which are related to different orders of the truncated Mellin moment are obtained. …”
Get full text

Some Identities between the Extended -Bernstein Polynomials with Weight and -Bernoulli Polynomials with Weight (,) by H. Y. Lee, C. S. Ryoo

“…Using bosonic -adic -integral on , we give some interesting relationships between -Bernoulli numbers with weight (,) and -Bernstein polynomials with weight . Also, using -Bernstein polynomials with two variables, we derive some interesting properties associated with -Bernoulli numbers with weight (,).…”
Get full text

𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli Numbers by T. Kim, J. Choi, Y. H. Kim

“…Recently, Kim (2011) introduced 𝑞-Bernstein polynomials which are different 𝑞-Bernstein polynomials of Phillips (1997). …”
Get full text

Applications of mixed finite element method based on Bernstein polynomials in numerical solution of Stokes equations by Lanyin Sun, Siya Wen

Subjects: Get full text

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials by S. H. Behiry

“…The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. …”
Get full text

Retracted: Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials by Abstract and Applied Analysis

Get full text

Some Relations between Twisted (h,q)-Euler Numbers with Weight α and q-Bernstein Polynomials with Weight α by N. S. Jung, H. Y. Lee, C. S. Ryoo

“…By using fermionic p-adic q-integral on ℤp, we give some interesting relationship between the twisted (h, q)-Euler numbers with weight α and the q-Bernstein polynomials.…”
Get full text

WEIERSTRASS APPROXIMATION THEOREM VIA RANDOM-SUM APPROACH by Trần Lộc Hùng

Subjects: Get full text

Multi-threshold algorithm about image segmentation based on polynomial uniform approximation by Yan-jun WEI, Bo-qin FENG, Wei-guo WU

Subjects: Get full text

A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface by Daud Ahmad, M. Khalid Mahmood, Qin Xin, Ferdous M. O. Tawfiq, Sadia Bashir, Arsha Khalid

“…The q-Bernstein polynomial-based Plateau–Bézier problem is the minimal area surface amongst all the q-Bernstein polynomial-based Bézier surfaces, spanned by the prescribed boundary. …”
Get full text

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators by Hee Sun Jung, Ryozi Sakai

“…Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞).…”
Get full text

Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form by Ayşegül Akyüz-Daşcıoğlu, Neşe İşler Acar, Coşkun Güler

“…A collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. …”
Get full text

Approximation Theorems for Functions of Two Variables via σ-Convergence by Mohammed A. Alghamdi

“…In this work, we use this notion to prove the Korovkin-type approximation theorem for functions of two variables by using the test functions 1, x, y, and x2+y2 and construct an example by considering the Bernstein polynomials of two variables in support of our main result.…”
Get full text