Pathak (2011) introduced variation diminishing wavelets and wavelets of specified changes in sign by utilising Schoenberg’s notion of variation-diminishing integral operators of convolution type. In this paper, we introduce some generalized variation diminishing wavelets based on the Hartley kernel and the Boas transforms. In particular, we introduce wavelets with specific changes of sign and wavelets based on Tanno’s form of convolution kernels.
