Results 71 to 80 of about 200 (141)
A $p$-adic analog of Wirtinger's inequality.
In classical Fourier analysis, for a nonvanishing complex-valued \(C^1\)-function \(f\) on the unit circle one proves that \(f\) has no zeros on some arc whose length can be expressed in terms of Fourier coefficients of \(f\) and \(f'\). In the present paper, the following \(p\)-adic version is proved.
openaire +2 more sources
Wirtinger-Beesack integral inequalities
Let \(I = (\alpha,\beta)\), \(-\infty\leq \alpha 0\), \(\varphi > 0\) on \(I\) and \(r\varphi''' \in AC^2(I)\). Put \(s=-(r\varphi''')'''\varphi^{-1}\). The aim of the paper is to establish the integral inequality \[ \int_I sh^2dt \leq \int_I r(h''')^2 dt \quad\text{for all} \;h \in H, \] where \(H \subset AC^2(I)\) is a convenient class of functions ...
openaire +2 more sources
A Refinement of the Discrete Wirtinger Inequality
In the present paper, the following refinement of Tang's discrete Wirtinger inequality [\textit{D. Tang}, Bull. Aust. Math. Soc. 43, No. 3, 467-474 (1991; Zbl 0751.26006)] is established: Theorem A. Let \(f(\theta)\) be a positive \(C^2\)-function on \((0,\ell)\) such that \(f'(\theta) f''(\theta) \neq 0\) and \(f'(\theta)^2 - f(\theta)f''(\theta ...
openaire +1 more source
Restarted holomorphic embedding power flow method [PDF]
Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Elétrica, 2018.Esta dissertação apresenta uma formulação básica do método de fluxo de carga com adaptação holomórfica, do inglês Holomorphic Embedding ...
Santos Junior, Aluisio Cesar dos
core
Theorems of the Phragmén-Lindelöf type on an open Riemann surface [PDF]
Kuroda, Tadashi
core +1 more source
Aplicações numéricas e combinatórias de polinómios de Appell generalizados [PDF]
Doutoramento em MatemáticaThis thesis studies properties and applications of different generalized Appell polynomials in the framework of Clifford analysis.
Cruz, Carla Maria
core
Fixed point indices and existence theorems for semilinear equations in cones [PDF]
The purpose of this thesis is to develop fixed point indices for A-proper semilinear operators defined on cones in Banach spaces and use the results to obtain existence theorems to semilinear equations.
Cremins, Casey Timothy
core +1 more source
Variations of discrete analogues of Wirtinger's inequality [PDF]
Novotná, Jarmila
core +1 more source

