On a Generalized Hardy Integral Inequality

ABSTRACT.  In this article, we present a new generalized version of the Hardy integral inequality. It has the property of depending on an auxiliary function. Thanks to this function, numerous variants are examined. The theory is complemented by two secondary results, ...

On Logarithmic Cordial Labelling of Some Graphs

ABSTRACT.  Let \( n \ge 3 \) be an integer with primitive root \( \varpi \). For a simple connected graph \( G \) of order \( n \), a bijective function \( f : V(G) \to \{1,2,\ldots,n\} \) is called a logarithmic cordial labeling to the base \( \varpi \) modulo \( n...

On Five Original Integral Inequalities of the Hardy-Hilbert Type

ABSTRACT. This article is devoted to five distinct integral inequalities of the Hardy-Hilbert  type, each possessing its own originality. In particular, we highlight new trigonometric variants that yield sharp upper bounds involving weighted integral norms of the...