Results 71 to 80 of about 1,900,675 (267)

Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination

Demonstratio Mathematica, 2021
In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R., Abd Alaal Faisal E., Abdelaziz Ayman A., Radwan Taha   +3 more
doaj   +1 more source

A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums

Journal of Mathematics, 2021
In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
doaj   +1 more source

On determinism and well-posedness in multiple time dimensions

, 2008
We study the initial value problem for the wave equation and the ultrahyperbolic equation for data posed on initial surface of mixed signature (both spacelike and timelike).
Craig, Walter, Weinstein, Steven
core   +4 more sources

Some fundamental theorems in the interval-valued functions and time scales [PDF]

Journal of Mahani Mathematical Research
This research investigates the topological structure of the space of interval-valued functions equipped with an order relation defined by open balls. The aim is to establish analogues of fundamental theorems in calculus, including Bolzano’s theorem, the ...
Tahere Shokoohi, Seyed Mohammad Sadegh Modarres Mosadegh, Azam Karami   +2 more
doaj   +1 more source

Near-optimal mean value estimates for multidimensional Weyl sums

, 2012
We obtain sharp estimates for multidimensional generalisations of Vinogradov's mean value theorem for arbitrary translation-dilation invariant systems, achieving constraints on the number of variables approaching those conjectured to be the best possible.
G.I. Arkhipov, G.I. Arkhipov, H. Davenport, I.M. Vinogradov, K. Van Valckenborgh, K.F. Roth, R.C. Baker, S.T. Parsell, S.T. Parsell, S.T. Parsell, Scott T. Parsell, Sean M. Prendiville, T.D. Wooley, T.D. Wooley, T.D. Wooley, Trevor D. Wooley, W.M. Schmidt, Yu.V. Linnik   +17 more
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Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

Mathematics, 2019
The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Shanhe Wu, M. Khan, Hidayat Ullah Haleemzai   +2 more
semanticscholar   +1 more source

A discrete multivariate mean value theorem with applications. [PDF]

AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core   +4 more sources

On Weyl sums for smaller exponents [PDF]

, 2010
We present a hybrid approach to bounding exponential sums over kth powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents k of intermediate ...
D. Wooley, Kent D. Boklan, Trevor
core  

Mean values of Dirichlet polynomials and applications to linear equations with prime variables

, 2004
We prove a new mean-value theorem for Dirichlet polynomials with coefficients given by the von Mangoldt function. We then use our theorem to derive new estimates for certain exponential sums over primes.
Angel V. Kumchev, Choi, Stephen Kwok-kwong   +2 more
core   +2 more sources

A generalized converse mean value theorem [PDF]

, 2009
We present a converse of the Mean Value Theorem for functions defined on arbitrary normed ...
Almeida, R
core