Results 61 to 70 of about 13,676,050 (240)

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

Observer-based stabilization of one-sided Lipschitz systems with application to flexible link manipulator

Advances in Mechanical Engineering, 2015
This article is concerned with the observer-based output feedback stabilization problem for a class of nonlinear systems that satisfies the one-sided Lipschitz and the quadratically inner-bounded conditions.
Rui Wu, Wei Zhang, Fang Song, Zhiyang Wu, Wei Guo   +4 more
doaj   +1 more source

Abadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems [PDF]

Control and Optimization in Applied Mathematics
This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker for both weakly efficient solutions and efficient solutions of a nonsmooth multi-objective semi-infinite programming
Ahmad Rezaee
doaj   +1 more source

Generalized Lipschitz Algebras [PDF]

, 1967
A class of Banach algebras which generalize the idea of the Lipschitz algebra on a metric space is studied. It is shown that homomorphisms of these algebras correspond to mappings of the underlying space which satisfy certain moduli of continuity.
Bishop, Ernest
core  

On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley   +1 more source

On Constraint Qualifications and Optimality Conditions in Nonsmooth Semi-infinite Optimization [PDF]

Control and Optimization in Applied Mathematics
The primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs).
Atefeh Hassani Bafrani
doaj   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition

Abstract and Applied Analysis, 2012
Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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