This article studies an asymptotic framework for conducting inference on parameters of the form ϕ(θ₀), where ϕ is a known directionally differentiable function and θ₀ is estimated by θ̂n. In these ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

The authors discover a new interesting generalized identity concerning differentiable functions via k–fractional integrals. By using the obtained dentity as an auxiliary result, some new estimates ...