On the Theorem of Frullani

DOI10.2307/2048376zbMath0701.26008OpenAlexW4240442132MaRDI QIDQ3478641

Juan Arias de Reyna

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048376

zbMATH Keywords

Fourier transformDenjoy-Perron integralextension of Frullani's theorem

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (7)

On Maximal Inequalities for Ornstein--Uhlenbeck Processes with Jumps ⋮ Evaluating improper integrals using Laplace transforms ⋮ On the Barnes double gamma function ⋮ Unnamed Item ⋮ Random time change and related evolution equations. Time asymptotic behavior ⋮ Integrals of Frullani type and the method of brackets ⋮ On fractional heat equation

Cites Work

• On Cauchy-Frullani integrals
• A model of set-theory in which every set of reals is Lebesgue measurable
• Limits of integrals
• Functions with Arbitrarily Small Periods
• Generalizations of Cesaro Continuous Functions and Integrals of Perron Type
• Functions with Arbitrarily Small Periods
• On Some Generalizations of the Cauchy-Frullani Integral
• On the Theorem of Frullani
• Mean Values and Frullani Integrals
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