Results 41 to 50 of about 670 (184)

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,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 Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
In this paper, applying the Faà di Bruno formula and some properties of Bell polynomials, several closed formulas and determinantal expressions involving Stirling numbers of the second kind for higher-order Bernoulli and Euler polynomials are presented.
openaire   +3 more sources

Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley   +1 more source

A note on degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj   +1 more source

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus

Journal of Mathematics, 2022
Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers ...
Nabiullah Khan, Mohd Ghayasuddin, Dojin Kim, Junesang Choi   +3 more
doaj   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi, Bao Rong, Xiaoting Rui, Guoping Wang, Xiaoli Dong, Xin Zhao   +5 more
wiley   +1 more source

Nanosecond, Nanometer Movies of MEMS/NEMS Dynamics in a Standard SEM Using Time‐Tagged Secondary Electrons

Small Methods, EarlyView.
For the observation of micromechanical devices, a fast imaging technique with high temporal resolution is needed. Here, we demonstrate that a standard scanning electron microscope can be converted into a time‐resolving instrument using a fast detector and a time‐to‐digital converter.
Joel Rehmann, Constantin Schalast, Karsten Kunze, Jan Rhensius, Yves Acremann   +4 more
wiley   +1 more source

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Truncated Fubini Polynomials

Mathematics, 2019
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

A modified polynomial-based approach to obtaining the eigenvalues of a uniform Euler–Bernoulli beam carrying any number of attachments

Journal of Vibration and Control, 2023
Free vibration characteristics in uniform beams with several lumped attachments are an important problem in engineering applications that have to deal with mounting different equipment (e.g. motors, oscillators or engines) on a structural beam.
Aguilar, Cristina, Ruz, Mario L., Blanco-Rodríguez, Francisco J.   +2 more
openaire   +4 more sources