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In this paper some inequalities for h-convex functions are established .
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)
In this paper, using the identity proved in for fractional inte-grals, some new Ostrowski type inequalities for Riemann-Liouville fractional integrals of functions of two variables are established. The established results in this paper generalize those results proved in .
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)
In this paper, we derive several weighted Hermite-Hadmard-Noor type inequalities for the differentiable preinvex functions and quasi preinvex functions.
In this paper some Fejér-type inequalities for superquadratic functions are established, we also get refinement of some known results when superquadratic function is positive and hence convex.
In this paper generalized triangle inequality and its reverse in a p-Fréchet space where, 0 < p < 1 are obtained.