Results 61 to 70 of about 1,656 (235)

Apostol type (p, q): Frobenius-Euler polynomials and numbers [PDF]

Kragujevac Journal of Mathematics, 2018
Summary: In the present paper, we introduce \((p,q)\)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, difference equations, derivative properties, recurrence relations and so on.
Ugur Duran, Mehmet Acikgoz
openaire   +5 more sources

Path Degeneracy and Applications

Journal of Graph Theory, EarlyView.
ABSTRACT In this work, we relate girth and path‐degeneracy in classes with sub‐exponential expansion, with explicit bounds for classes with polynomial expansion and proper minor‐closed classes that are tight up to a constant factor (and tight up to second order terms if a classical conjecture on existence of g $g$‐cages is verified). As an application,
Yuquan Lin, Patrice Ossona de Mendez
wiley   +1 more source

Flow‐Critical Graphs

Journal of Graph Theory, EarlyView.
ABSTRACT Lovász et al. proved that every six‐edge‐connected graph has a nowhere‐zero three‐flow. In fact, they proved a more technical statement, which says that there exists a nowhere‐zero three‐flow that extends the flow prescribed on the incident edges of a single vertex z $z$ with bounded degree. We extend this theorem of Lovász et al.
Arnbjörg Soffía Árnadóttir, Zdeněk Dvořák, Bernard Lidický, Benjamin Moore, Evelyne Smith‐Roberge, Robert Šámal   +5 more
wiley   +1 more source

Note on the q-Extension of Barnes' Type Multiple Euler Polynomials

Journal of Inequalities and Applications, 2009
We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our q-Euler polynomials of higher order by using the multiple integral ...
Leechae Jang, Taekyun Kim, Young-Hee Kim, Kyung-Won Hwang   +3 more
doaj   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Some identities on the weighted q-Euler numbers and q-Bernstein polynomials

Journal of Inequalities and Applications, 2011
Recently, Ryoo introduced the weighted q-Euler numbers and polynomials which are a slightly different Kim's weighted q-Euler numbers and polynomials(see C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, 2011]).
Ryoo Cheon, Kim Taekyun, Kim Young-Hee
doaj  

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

Digging Deep: Dynamic Programming for Optimal Routing With Double‐Deep Autonomous Mobile Robot Picking

Networks, EarlyView.
ABSTRACT Multi‐tote autonomous mobile robots (MT‐AMRs) are an emerging warehousing technology in which a mobile drive unit carries a lift‐based storage‐and‐retrieval mechanism with an extendable fork and a multi‐tote onboard buffer. On autonomous picking tours, an MT‐AMR visits storage locations, extracts product totes from racks, stores them in its ...
Nils Boysen, Fabian Hennig, Tobias Kroll
wiley   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Some Identities of the Twisted 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and 𝑞-Bernstein Polynomials with Weight 𝛼

Abstract and Applied Analysis, 2011
Recently mathematicians have studied some interesting relations between 𝑞-Genocchi numbers, 𝑞-Euler numbers, polynomials, Bernstein polynomials, and 𝑞-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj   +1 more source