a characteriation of continuity of the $p$-$lambda$-variation function is given and the helly's selection principle for $lambda bv^{(p)}$ functions is established. a characterization of the inclusion of waterman-shiba classes into classes of functions with given integral modulus of continuity is given. a useful estimate on modulus of variation of functions of class $lambda bv^{(p)}$ is found.

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

We introduced the notion of (X, dist,V)-boundedness of a filtered family of operators in the Musielak-Orlicz sequence space Xφ of multifunctions. This notion is used to get the convergence theorems for the families of X-linear operators, X-distsublinear operators and X-dist-convex operators. Also, we prove that Xφ is complete.

resilient modulus of pavement materials is a key property required for the pavement thickness design. this paper describes the results of an experimental study on the effects of temperature and loading frequency on the resilient modulus of a sbs polymer modified asphalt concrete under dry and saturated conditions. dynamic creep tests were conducted on dry and saturated specimens of the mixture ...

In this paper, we are concerned with some qualitative properties of the new fractional Musielak–Sobolev spaces WsLΦx,y such that generalized Poincaré type inequality and continuous compact embedding results. Moreover, prove any function in WsLΦx,y(Ω) may be extended to a WsLΦx,y(RN), Ω⊂RN is bounded domain class C0,1. addition, establish result relates complemented subspace WsLΦx,yRN. As an app...

in the paper we establish some new results depending on thecomparative growth properties of composition of entire functionsusing relative $l^{ast }$-order (relative $l^{ast }$-lowerorder) as compared to their corresponding left and right factorswhere $lequiv lleft( rright) $ is a slowly changing function.