We establish various fractional convex inequalities of the Hermite-Hadamard type which generalize previously obtained results in literature. Various types such are and given as corollaries. The main motivation paper is to recently published terms (α, h − m) p convexity with k-p Riemann Liouville operator. application H¨olders inequality tandem operator type.

BACKGROUND Serum pepsinogen (PG) I/II ratio has been widely used as "serological biopsy" for the screening of gastric cancer (GC) and atrophic gastritis (GA). However, study concerning in situ expression of PGs is currently insufficient, particularly for their relationship with serum PGs levels. This study was designed to investigate in situ expression of PGI and PGII in subjects with normal mu...

In this paper, we rigorously prove the existence and stability of multiple spot patterns for the Gray-Scott system in a two dimensional domain which are far from spatial homogeneity. The Green's function together with its derivatives and two nonlocal eigenvalue problems both play a major role in the analysis. We establish a threshold behavior: If a certain inequality holds then we get stability...

in this paper, we reconstruct the hardy-littlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga best constant factor. an open problem is raised.

Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.