Results 61 to 70 of about 543 (145)
A New Approach to
Advances in Difference Equations, 2010 We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet +2 more
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A new family of q-Bernstein polynomials: probabilistic viewpoint
Arab Journal of Basic and Applied SciencesIn this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc +2 more
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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Identities associated with Milne–Thomson type polynomials and special numbers
Journal of Inequalities and Applications, 2018 The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
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Earthquake Spectra, Volume 42, Issue 4, November 2026.In the aftermath of a large earthquake, several practical constraints affect the systematic collection of data for assessing building damage. The available data are therefore typically incomplete, frequently missing key information such as the type of construction, age and geographic location.
Max Anderson Loake, Kishor S. Jaiswal
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Evaluation of cauchy polynomials via degenerate r-Stirling numbers
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, within the framework of unsigned degenerate [Formula: see text]-Stirling numbers, we establish connections among Cauchy polynomials, degenerate Bernoulli polynomials, and degenerate hyperharmonic numbers.
Zhuoyu Chen +4 more
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Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
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A new construction on the
Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised.
Bayad Abdelmejid +4 more
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Explicit Formulas Involving -Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator.
Serkan Araci +2 more
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Behavioral Modeling of Memristors under Harmonic Excitation. [PDF]
Micromachines (Basel), 2023 Solovyeva E, Serdyuk A.
europepmc +1 more source