On the Integrals of Perron Type

DOI10.2307/1996544zbMath0241.26008OpenAlexW4229651892MaRDI QIDQ5651439

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Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996544

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Denjoy and Perron integrals, other special integrals (26A39) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (1)

A wide Perron integral

Cites Work

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• AN INTEGRAL OF PERRON'S TYPE DEFINED WITH THE HELP OF TRIGONOMETRIC SERIES
• The Relation Between Two Definite Integrals
• A generalized derivative and integrals of the Perron type
• Denjoy integration in abstract spaces
• Generalized Integrals of Vector-Valued Functions
• A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals
• On a Descriptive Definition of Cesàro-Perron Integrals
• On the Peano Derivatives
• On the Generality of the AP-Integral
• The pⁿ-integral
• On the differentiability of functions and summability of trigonometrical series
• Mean-Continuous Integrals
• A Generalized Integral II
• Some Properties of C _λ -Continuous Functions
• Integrals and Trigonometric Series
• Generalized nth Primitives
• ON SUFFICIENT CONDITIONS FOR A FUNCTION INTEGRABLE IN THE CESÀRO-PERRON SENSE TO BE MONOTONIC
• Summable trigonometric series

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