Wavelet and Linear Algebra

Abstract In this paper‎, ‎we explore the properties of spectral functions from the perspective of convex analysis and monotone operator theory‎. ‎Specifically‎, ‎we examine the $\e$-subdifferential and $\e$-enlargement of a spectral function‎. ‎Also‎, ‎we study representative functions associated with the subdifferential of the spectral function‎. ‎In addition‎, ‎Fitzpatrick function has been studied due to its significance as one of the most important representative functions.

Abstract In this paper, we study Hermite-Hadamard type inequalities for sub-topical (increasing and plus sub-homogeneous) functions in the framework of abstract convexity. Some examples of such inequalities for functions defined on special domains are given.