Trapezoidal inequalities for functions of diverse nature are useful in numerical computations. The authors have proved an identity for a generalized integral operator via a differentiable function. By applying the established ...

The vulnerability in a communication network is the measurement of the strength of the network against damage that occurs in nodes or communication links. It is important that a communication network is still effective ...

Growth models are included in non-linear regression models. On the other hand, dependence is one of the most important issues of statistics. Many models have been applied to data and variables which have dependent and ...

The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for ...

For a set S subset of V (G), if every vertex has a neighbor in S or has at least two vertices in S at distance two from it, then the set S is a disjunctive total dominating set of G. The minimum cardinality of such a set ...

We study the asymptotic behaviour of the solution to a singularly perturbed model differential equation. The analytical solution is asymptotically represented by a formal power series in the perturbation parameter. This ...

Factorial over a power approach is one of the fundamental techniques for deriving the late-order terms in the asymptotic approximation of integrals and differential equations. To our knowledge, although many differential ...

We construct a relation between the leading pre-factor function A(z) and the singulants u(0)(z), u(1)(z), and recurrence relation of the singulants at higher levels for the solution of singularly-perturbed first-order ...

A subset S subset of V(G) is a disjunctive total dominating set if each vertex has a neighbor in S or has at least two vertices in Sat distance two from it. The disjunctive total domination number gamma(d)(t)(G) is the ...

Studying ordinary or partial differential equations or integrals using traditional asymptotic analysis, unfortunately, fails to extract the exponentially small terms and fails to derive some of their asymptotic features. ...