In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

The peroxisome proliferator-activated receptors (PPAR) are nuclear receptors that regulate gene expression in response to ligand binding. Three PPAR receptor subtypes, namely gamma, alpha and delta (beta), have been identified. The development of PPAR agonist pharmaceuticals for the treatment of type 2 diabetes, dyslipidemia, and obesity is currently an area of great interest. The FDA has recei...

Peroxisome proliferator-activated receptors (PPARs) are transcriptional factors involved in the regulation of insulin resistance and adipogenesis. Cinnamon, a widely used spice in food preparation and traditional antidiabetic remedy, is found to activate PPARgamma and alpha, resulting in improved insulin resistance, reduced fasted glucose, FFA, LDL-c, and AST levels in high-caloric diet-induced...