The convolution of two φ-convex functions is estimated by means of an inequality of Hadamard type. The sharpness of this inequality is discussed. As consequence, few inequalities for the convolution ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

HUILAN LI, TRUEMAN MACHENRY, THE CONVOLUTION RING OF ARITHMETIC FUNCTIONS AND SYMMETRIC POLYNOMIALS, The Rocky Mountain Journal of Mathematics, Vol. 43, No. 4 (2013), pp. 1227-1259 ...

Convolution integral: response to step In a lecture example, we used the convolution integral approach to study the response of an undamped oscillator excited by the rectangular pulse shown below.