  We have proposed a novel shape function on which the metric that models
traversable wormholes is dependent. Using this shape function, the energy
conditions, equation of state and anisotropy parameter are analyzed in $f(R)$
gravity, $f(R,T)$ gravity and general relativity. Furthermore, the consequences
obtained with respect to these theories are compared. In addition, the
existence of wormhole geometries is investigated.
