Annals of Communications in Mathematics

ABSTRACT.The object of the present paper is to characterize \( \epsilon \text{-} LP \text{-} \)Sasakian manifolds with a quarter-symmetric metric connection admitting \( \eta \)-Ricci solitons. Finally, the existence of \( \eta \)-Ricci soliton in an \( \epsilon \text{-} LP \text{-} \)Sasakian manifold has been proved by a concrete example.

AbstractHere we present a multivariate right side Caputo fractional Taylor’s formula with fractional integral remainder. Based on this we give three multivariate right side Caputo fractional Landau’s type inequalities. Their constants are precisely calculated and we give best upper bounds.