Selfsimilarity of ``Riemann's nondifferentiable function''
, 1994 The author gives a self-contained presentation of the differentiability properties of the function \(f(x):=\sum^ \infty_{n=1}\sin(n^ 2\pi x)/(n^ 2\pi)\) using selfsimilarity of the corresponding theta function. His main result is an asymptotic description of \(\varphi(x):=\sum^ \infty_{n=1}\exp(n^ 2 i\pi x)/(n^ 2 i\pi)\) near rational points leading to
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Generalized Fractional Integral Inequalities of σ-Convex Functions
Journal of MathematicsIn this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ-convex functions on account of the Riemann–Liouville fractional integral.
Shweta Lather, Harish Nagar
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The Littlewood-Paley g-function associated with the Riemann-Liouville operator
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013 First, we study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator. Next, we dene and study the Littlewood-Paley g-function associated with the Riemann-Liouville operator for which we prove the Lp-boundedness for p ∈ ]1,
Amri Besma, Rachdi Lakhdar
doaj
A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
Electronic Journal of Differential Equations, 2002 In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general ...
Bidzina Midodashvili
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Exploring Riemann’s functional equation
Cogent Mathematics, 2016 This is the final published version, Cogent Mathematics ...
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Subalgebras of functions on a Riemann surface [PDF]
Pacific Journal of Mathematics, 1958 openaire +4 more sources
Existence of solutions to the Riemann problem for a model of two-phase flows
Electronic Journal of Differential Equations, 2015 We study the existence of solutions of the Riemann problem for a model of two-phase flows. The model has the form of a nonconservative hyperbolic system of balance laws. Based on a phase decomposition approach, we obtain all the wave curves.
Mai Duc Thanh, Dao Huy Cuong
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Experimental observation of energy-band Riemann surface. [PDF]
Sci AdvCheng D +5 more
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New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]
Sci RepKhan TU, Al-Juaid BS, Markarian C.
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A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Sci RepVinoth R, Jayalakshmi M.
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