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In this paper, we present weighted integral inequalities of Hermite-Hadamard type for differentiable preinvex and prequasiinvex functions. Our results, on the one hand, give a weighted generalization of recent results for preinvex functions and, on the other hand, extend several results connected with the Hermite-Hadamard type integral inequalities.(More)
We investigate the structure and dynamics of α-Chymotrypsin in five room temperature ionic liquids (RTILs) sharing a common cation, hydrated with different water percentages (w/w) (weight of water over protein). Results from molecular dynamics simulations are correlated with experimental evidences from studies on the activity of enzymes in RTILs.(More)
In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity, analysis and some auxiliary results , some new Fejér type integral inequalities are presented for the class of harmonically convex functions. Applications of our(More)
In this paper, new Hermite-Hadamard type inequalities for coordinated convex and coordinated quasi convex functions are proved in a unique way. These results generalize many results proved in earlier works for these classes of functions. Finally, applications of our results are given to estimate the product of moments of two independent continuous random(More)