Taylor-type formulas for arbitrary continuous functions on intervals and their application in control problems for distributed systems

DOI10.1134/S1064562422020028zbMath1498.26004OpenAlexW4286652296WikidataQ113782242 ScholiaQ113782242MaRDI QIDQ2155319

A. N. Agadzhanov

Publication date: 15 July 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422020028

zbMATH Keywords

Bernstein polynomialsCaputo derivativeTaylor formulaDini derivative

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Cites Work

• Nowhere monotone singular functions in problems of finite control of distributed systems
• Generalized Taylor's formula
• On a numerical scheme for solving differential equations of fractional order
• Fractal functions with continuous Weil-type derivatives of variable order in control of distributed systems
• Differentiation of Real Functions
• Fractal Control Theory
• Mean Value Theorems for Functions with Finite Derivates
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