Some triple sine series

Uniform convergence of single and double sine series and integrals

Volterra Series Analysis of a 1.8GHz Sine Wave Oscillator

The work deals with different kind of voltages, currents and charges, and the used nomenclature is defined here. Voltages, currents, and charges are divided into three groups: DC, AC and instantaneous. DC signals are termed with capital letters without the time-dependence indication “(t)”, e.g. VDS . AC signals are termed with lower case letters and with the time-dependence indication e.g. vds(...

Why Does Subsequence Time-Series Clustering Produce Sine Waves?

Data mining and machine leaning communities were surprised when Keogh et al. (2003) pointed out that the k-means cluster centers in subsequence time-series clustering become sinusoidal pseudopatterns for almost all kinds of input time-series data. Understanding this mechanism is an important open problem in data mining. Our new theoretical approach (based on spectral clustering and translationa...

Certain Estimates for Double Sine Series with Multiple-monotone Coefficients

Some New Inequalities of Jordan Type for Sine

The authors find some new inequalities of Jordan type for the sine function. These newly established inequalities are of new form and are applied to deduce some known results.