Entropies and Heun functions associated with positive linear operators

DOI10.1016/j.amc.2015.06.085zbMath1410.41039OpenAlexW868331762MaRDI QIDQ668129

Ioan Raşa

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.085

zbMATH Keywords

entropypositive linear operatorprobability distributionhypergeometric functionHeun function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Approximation by positive operators (41A36)

Related Items (15)

Functional equations related to Appell polynomials and Heun functions ⋮ Information potential for some probability density functions ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ Discrete operators associated with linking operators ⋮ Convexity properties of some entropies ⋮ Convexity properties of some entropies. II ⋮ A sequence of Appell polynomials and the associated Jakimovski-Leviatan operators ⋮ The Product of Two Functions Using Positive Linear Operators ⋮ Heun functions related to entropies ⋮ Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators ⋮ Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials ⋮ Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials ⋮ Bounds for indices of coincidence and entropies ⋮ Heun equations and combinatorial identities ⋮ A discrete probability distribution and some applications

Uses Software

• DLMF

Cites Work

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• On a conjecture concerning the sum of the squared Bernstein polynomials
• New results concerning Chebyshev-Grüss-type inequalities via discrete oscillations
• Complete monotonicity and zeros of sums of squared Baskakov functions
• The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks
• Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa
• On reducing the Heun equation to the hypergeometric equation
• On multiplicativity of the Bernstein operator
• Korovkin-type approximation theory and its applications
• Grüss-type and Ostrowski-type inequalities in approximation theory
• Possible generalization of Boltzmann-Gibbs statistics.
• On the multiplicativity of linear operators
• Studying Baskakov-Durrmeyer operators and quasi-interpolants via special functions
• HEUN FUNCTIONS AND THEIR USES IN PHYSICS
• The 192 solutions of the Heun equation
• Second Order Differential Equations
• New solutions of Heun s general equation
• Chebyshev-Gr\"{u}ss-type inequalities via discrete oscillations

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