Properties of Hybrid Structures in Groupoids

ABSTRACT.  Classical mathematical methods are insufficient for resolving certain issues in real-life human problems due to the uncertainty of the data. Researchers from around the world have created innovative mathematical models, like soft and fuzzy set theories, to...

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...