In this paper, we extend the class of strongly $ E $-preinvex and $-invex functions to quasi $-preinvex, pseudo functions. Some non-trivial suitable examples have been constructed in support our definitions. Several interesting properties relationships these are discussed. Furthermore, show application results, consider a non-linear programming problem that local minimum point is also strictly ...

‎In this paper‎, ‎we  consider the problem of  estimating E(Y) based on a simple random sample when at least one of the population quantiles is known‎. ‎We propose a stratified estimator of  E(Y)‎, ‎and show that it is strongly consistent‎. ‎We then establish the asymptotic normality of the suggested estimator‎, ‎and prove that it ...

shiga toxin producing escherichia coli have been associated with hus, hc and ttp in human. we found recto-anal mucosal sample in sheep as well in cattle is the main site for e. coli o157 localization. 1246 e. coli isolates from 872 both healthy and diarrheic animals were analyzed, by screening for the presence of shiga toxin-producing (vt 1 and vt 2) and intimin (eae) genes used multiplex pcr. ...

A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(x k)) is a strongly lacunary quasi-Cauchy sequence whenever (x k) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds of continuities are investigated...

The energy E(G) of a graph G is defined as the sum of the absolute values of the eigenvalues of G. An n-vertex graph is said to be hypoenergetic if E(G) < n and strongly hypoenergetic if E(G) < n−1. In this paper, we consider hypoenergetic and strongly hypoenergetic trees. For any given n, the existence of both hypoenergetic and strongly hypoenergetic trees of order n is completely characterized.