* Correspondence: billur@cankaya. edu.tr Department of Mathematics and Computer Science, Çankaya University, Ankara, Turkey Full list of author information is available at the end of the article Abstract We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial’s inequality and also provide new esti...

Rhombellanes are mathematical structures existing in various environments, in crystal or quasicrystal networks, or even in their homeomorphs, further possible becoming real molecules. Rhombellanes originate in the K2.3 complete bipartite graph, a tile found in the linear polymeric staffanes. In close analogy, a rod-like polymer derived from hexahydroxy-cyclohexane was imagined. Further, the ide...

In order to characterize the thermodynamic constraints on the process of integral membrane protein folding and assembly, we have conducted a biophysical dissection of the structure of bacteriorhodopsin (BR), a prototypical alpha-helical integral membrane protein. Seven polypeptides were synthesized, corresponding to each of the seven transmembrane alpha-helices in BR, and the structure of each ...

We study a lattice point-counting problem for spheres arising from the Heisenberg groups. In particular, we prove an upper bound on number of points and near large dilates unit generated by anisotropic norms $$\Vert (z,t)\Vert _\alpha = ( \left| z\right| ^\alpha + t\right| ^{\alpha /2})^{1/\alpha }$$ $$\alpha \ge 2$$ . As first step, reduce our counting to one bounding energy integral. The prim...

the price of single point diamond tools with a sharp tip is very high due to complex machining process and highly expensive machining equipments. yet, the performance is not quite satisfactory. in this paper, we have presented a very simple and cost effective machining process for the sharpening and polishing of diamond stylus using low energy reactive ion beam machining (ribm). in our method, ...

In this paper, we introduce the local and global mixed Morrey-type spaces show some properties. Besides, investigate boundedness of fractional integral operators $$I_\alpha $$ in these spaces. Firstly, sufficient necessary conditions mixed-norm Lebesgue for Then, prove $$I_{\alpha }$$ by Hardy operators’ weighted Furthermore, obtain corollaries.

Single crystals and polycrystalline diamond films of several thicknesses were deposited using oxygen/acetylene combustion flame technique. The substrate used was pure polycrystalline molybdenum subjected to mechanical polishing. Quality and microstructural characteristic of diamond produced were investigated using X-Ray diffraction, Raman Spectroscopy, Scanning and Transmission Electron Microsc...