https://doi.org/10.4169/college.math.j.45.1.054 https://www.jstor.org/stable/10.4169/college.math.j.45.1.054 Summary We present a result of Rosenthal, which shows ...

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 ...

We consider shape-restricted nonparametric regression on a closed set X ⊂ ℝ, where it is reasonable to assume that the function has no more than H local extrema interior to X. Following a Bayesian ...

CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

where belongs to the set of all continuously differentiable functions with square integrable second derivatives, and is a positive constant. Note The computations for a thin-plate smoothing spline are ...