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by S.F.Papadopoulos
Tue Aug 30, 2016 12:09 pm
Forum: Multivariate Calculus
Topic: Do such functions exist?
Replies: 3
Views: 1489

Re: Do such functions exist?

Such function NO exist.
by S.F.Papadopoulos
Tue Aug 30, 2016 11:31 am
Forum: Real Analysis
Topic: Is it a Fourier series of a function?
Replies: 4
Views: 1328

Re: Is it a Fourier series of a function?

If $2a_{n+1}<a_n+a_{n+2}$ for all natural $n$ the sequence is strictly convex.
by S.F.Papadopoulos
Mon Aug 29, 2016 8:00 am
Forum: Real Analysis
Topic: Is it a Fourier series of a function?
Replies: 4
Views: 1328

Re: Is it a Fourier series of a function?

The sequence is convex.The series is Fourier series of Lebesgue integrable function.