Let $U$ be an open semi-algebraic subset of $\mathbf{R}^n$ and let $X$ be a closed analytic subset of $U$ which is also a semi-algebraic set (e.g., $U = \mathbf{R}^n ...

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 paper introduces a novel approach to examine Hermite–Hadamard-type inequalities taking advantage of tempered fractional operators. These inequalities are proved by means of twice-differentiable ...