Abstract In the theory of approximation, linear operators play an important role. The exponential-type were introduced four decades ago, since then no new operator was by researchers, although several generalizations existing proposed and studied. Very recently, concept semi-exponential few captured from operators. It is more difficult to obtain than corresponding this paper, we extend studies ...

I present ALMA, a Fortran 90 program for computing the tidal and the loading “Love numbers” of a spherically symmetric, incompressible, viscoelastic planet, using the Post–Widder Laplace inversion formula. Knowledge of the Love numbers is required in various geophysical applications, ranging from modeling of glacial isostatic adjustment to the study of the response of the Earth to the gravitati...

We obtain a characterization of generalized Stieltjes functions of any order λ > 0 in terms of inequalities for their derivatives on (0,∞). When λ = 1, this provides a new and simple proof of a characterization of Stieltjes functions first obtained by Widder in 1938.

The classical Ostrowski inequality for functions on intervals estimates the value of the function minus its average in terms of the maximum of its first derivative. This result is extended to higher order over shells and balls of R , N ≥ 1, with respect to an extended complete Tschebyshev system and the generalized radial derivatives of Widder type. We treat radial and non-radial functions.

Earthquake force, loading more than structural capacity, cracking, material fatigue and the other unpredicted events were undeniable in the structure life cycle in order that environmental conditions of the structure would be changed and treats health. Damage of structures such as crack, corrosion of the post tension cables from inappropriate grouting of the post tension structures and etc. can...