Abstract This paper introduces the concept of lacunary p -distance convergence for sequences of complex uncertain variables. This generalization allows the study of convergence over irregular index sets under uncertainty, extending existing convergence frameworks in uncertainty theory. Various properties, algebraic operations, and geometric aspects of the related function space are discussed.
This paper provides a survey of several results on alternative functional equations, related to the Cauchy equation and to the quadratic equation, and involving one or more unknown functions.
In this paper, we introduce new inequalities for weighted sums of powers. By utilizing known Fibonacci identities alongside our generalized inequalities, we derive new sequences of inequalities for Fibonacci numbers.
The concept of l-gap convex functions is defined, which is more general than convex functions and allows some non-convex parts of the function. A Jensen type inequality is established and some examples are discussed. As an application and generalization, we prove that the majorization theorem also holds for l-gap convex functions. Then we use the conclusions from the above sections to establish a Hermite-Hadamard type inequality for l-gap convex functions.
This paper addresses the problem of obtaining a strict ranking (i.e., a ranking without equally ranked items) of n items based on a pairwise comparisons matrix. The basic structures are described and a heuristic approach based on a condition, the & Rscr;-condition is proposed. The limitations of this ranking procedure are analyzed.
