Results 91 to 100 of about 852,038 (290)

Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials

open access: yesMathematics, 2018
In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He   +3 more
doaj   +1 more source

Identities involving Bernoulli and Euler polynomials [PDF]

open access: yes, 2017
We present various identities involving the classical Bernoulli and Euler polynomials. Among others, we prove that and Applications of our results lead to formulae for Bernoulli and Euler numbers, like, for instance,
H. Alzer, S. Yakubovich
semanticscholar   +1 more source

On generalized Lucas polynomials and Euler numbers [PDF]

open access: yesMiskolc Mathematical Notes, 2010
In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
openaire   +2 more sources

Generating Euler Diagrams from Existing Layouts [PDF]

open access: yes, 2008
Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits.
Howse, John   +7 more
core   +1 more source

Novel Bernstein‐Kantorovich Type Operators

open access: yesMathematical 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

Changing Euler Diagram Properties by Edge Transformation of Euler Dual Graphs [PDF]

open access: yes, 2009
Euler diagrams form the basis of several visual modelling notations, including statecharts and constraint diagrams. Recently, various techniques for automated Euler diagram drawing have been proposed, contributing to the Euler diagram generation problem:
Howse, John   +5 more
core   +1 more source

Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback

open access: yesInternational 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

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

open access: yesInternational 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   +5 more
wiley   +1 more source

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

open access: yesInternational 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   +1 more
wiley   +1 more source

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

open access: yesNetworks, 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

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