Results 31 to 40 of about 4,000,497 (331)

Power Fibonacci sequences in quadratic integer modulo m [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
The power Fibonacci sequence in ℤₘ[√δ] is defined as a Fibonacci sequence Fₙ=Fₙ₋₁+Fₙ₋₂ where F₀=1 and F₁=a, such that a∈ℤₘ[√δ] and Fₙ≡aⁿ(mod m), for all n∈ℕ∪{0}. In this paper, we investigated the existence of power Fibonacci sequences in ℤₘ[√δ], and the
Paul Ryan A. Longhas   +3 more
doaj   +1 more source

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n,β-Normed Spaces

open access: yesJournal of Function Spaces, 2021
In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa   +3 more
doaj   +1 more source

On the Solution of Quadratic Nonlinear Integral Equation with Different Singular Kernels

open access: yes, 2020
All the previous authors discussed the quadratic equation only with continuous kernels by different methods. In this paper, we introduce a mixed nonlinear quadratic integral equation (MQNLIE) with singular kernel in a logarithmic form and Carleman type ...
M. Basseem, Ahmad Alalyani
semanticscholar   +1 more source

Functional inequalities for generalized multi-quadratic mappings

open access: yesJournal of Inequalities and Applications, 2021
In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
doaj   +1 more source

The extrasolar planet Gliese 581 d: a potentially habitable planet? (Corrigendum to arXiv:1009.5814) [PDF]

open access: yes, 2013
We report here that the equation for H2O Rayleigh scattering was incorrectly stated in the original paper [arXiv:1009.5814]. Instead of a quadratic dependence on refractivity r, we accidentally quoted an r^4 dependence.
Gebauer, S.   +8 more
core   +2 more sources

Approximate mixed type quadratic-cubic functional equation

open access: yesAIMS Mathematics, 2021
In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation \begin{align*} 2f(2x+y)+2f(2x-y) = 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y) \end{align*} in non-Archimedean $(n ...
Zhihua Wang
doaj   +1 more source

Prediction mechanical properties of particleboard and analysis the interaction effect of slenderness ratio and resin content, using linear, quadratic and exponential equation [PDF]

open access: yesتحقیقات علوم چوب و کاغذ ایران, 2011
The purpose of this study was to investigate which equation (Linear, Exponential equation and quadratic) can describe exactly the interaction effect of particle size and adhesive percent and predict mechanical properties of particleboard (modulus of ...
Mohammad Arabi   +3 more
doaj   +1 more source

The Solution of Quadratic Equations [PDF]

open access: yesNature, 1898
IN answer to Mr. Atkinson's letter, I will explain, as briefly as I can, what appears to me to be the proper way of discussing quadratic equations.
openaire   +4 more sources

Picard and Adomian decomposition methods for a fractional quadratic integral equation via generalized fractional integral

open access: yesIraqi Journal for Computer Science and Mathematics
 The primary focus of this paper is to thoroughly examine and analyze a class of a fractional quadratic integral equation via generalized fractional integral.
Alan Jalal Abdulqader   +4 more
doaj   +1 more source

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

open access: yesAbstract and Applied Analysis, 2009
Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
doaj   +1 more source

Home - About - Disclaimer - Privacy