Inequalities for trigonometric sums and applications
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DOI: 10.1007/s00010-019-00657-6
Abstract: We present various new inequalities for cosine and sine sums. Among others, we prove that 0.1 $$\begin{aligned} 0\le \sum _{k=0}^n \frac{ (a)_{2k}}{(2k)!} \frac{\cos ((2k+1)x)}{2k+1} \quad {(a\in \mathbb {R})} \end{aligned}$$ 0 ≤ ∑ k = 0… read more here.
Keywords: trigonometric sums; sums applications; inequalities trigonometric; frac ... See more keywords
A New Class of Sequences and L-Convergence of Some Complex Modified Trigonometric Sums
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DOI: 10.1134/s1995080218020178
Abstract: We show that the new complex modified trigonometric sums, introduced by others, converge in the space L under a new class of sequences. read more here.
Keywords: trigonometric sums; new class; class sequences; complex modified ... See more keywords