The aim of this paper is to establish some relationship between the set strong uniform statistical cluster points and a given sequence in probabilistic normed space. To aim, let density be on positive integers N for space, that is, cases as equal lower upper subset N. We introduce concept give new type convergence Note non-empty compact set. also investigate properties all

Cosine Numeric Abstract, Cosine Logical Abstract, Overlap Logical Overlap Logical Abstract, Cosine Numeric Cosine Numeric Text, Cosine Numeric Text, Cosine Logical Text, Overlap Logical Abstract, Cosine Numeric Cosine Numeric Abstract, Cosine Logical Cosine Logical Title, Cosine Numeric EVALUATION MEASURE Normed. Recall Normed. Precision Normed. Recall Normed. Precision Normed. Recall Normed. P...

We extend the Khinchin–Kahane inequality to an arbitrary abelian metric group G . In the special case where G is normed, we prove a refinement which is sharp and which extends the sharp version for Banach spaces. We also provide an alternate proof for normed metric groups as a consequence of a general “transfer principle”. This transfer principle has immediate applications to stochastic inequal...