Geometric characterizations of trans-Sasakian 3-manifolds admitting ∗-conformal 𝜂-Ricci solitons

by admin | Mar 28, 2026

Abstract.  In this paper, we study trans-Sasakian 3-manifolds admitting ∗-confomal η- Ricci solitons satisfying certain curvature conditions and obtain several interesting results.

Correction of a Proof of an Inequality Involving the Polygamma Function

by admin | Mar 28, 2026

Abstract.  The proof of Lemma 5 in the paper ”Corrigendum to A Harmonic Mean Inequality for the Polygamma Function” [Math. Inequal. Appl., 27(2)(2024), 273-274] contains an error. The purpose of this paper is to correct the error.

Stability of Euler-Lagrange additive inequality in Banach spaces

by admin | Mar 14, 2026

Abstract: In the paper, we investigate the Hyers–Ulam stability theorem of an Euler–Lagrange additive functional inequality \[ \left\| \sum_{j=1}^{n} \left( \sum_{k=j}^{n} \lambda_k \right) f(x_j – x_{j-1}) \right\| \leq \left\| f\left( \sum_{j=1}^{n} \lambda_j...

On Logarithmic–Power Integrals and Their Extensions

by admin | Mar 14, 2026

Abstract.  This paper presents several integral formulas inspired by classical results and problems in the existing literature. We study a family of integrals and obtain closed form expressions involving hypergeometric series and harmonic numbers.

Extending and unifying Hardy-Hilbert-type integral inequalities involving primitives

by admin | Mar 14, 2026

Abstract.  In this article, we extend and unify the framework of a modified Hardy-Hilbert-type integral inequality established by W. T. Sulaiman in 2010. Our approach differs from previous works by incorporating the primitives of the main functions, considering four...