INCLUSION PROPERTIES OF BIVARIATE ASYMPTOTICALLY DEFERRED STATISTICALLY EQUIVALENT MEASURABLE FUNCTIONS

Öz

The main objective of this paper is to introduce the novel concepts of double asymptotically deferred statistically equivalent and double strongly deferred asymptotically statistical equivalence by considering two non-negative real-valued Lebesgue measurable functions defined on (1,∞)×(1,∞). Furthermore, we investigate several inclusion theorems related to these new notions, which have not been previously explored in the literature.

Anahtar Kelimeler

• Deferred statistical convergence
• asymptotically statistical equivalent
• measurable functions
• pringsheim limit

İKİ DEĞİŞKENLİ ASİMPTOTİK DEFERRED İSTATİSTİKSEL OLARAK EŞDEĞER ÖLÇÜLEBİLİR FONKSİYONLARIN KAPSAMA ÖZELLİKLERİ

Öz

Bu makalenin temel amacı, (1,∞)×(1,∞) üzerinde tanımlı iki negatif olmayan, gerçek değerli Lebesgue ölçülebilir fonksiyon dikkate alınarak iki değişkenli asimptotik deferred istatistiksel olarak eşdeğerlik ve iki değişkenli kuvvetli deferred asimptotik istatistiksel eşdeğerlik kavramlarını tanıtmaktır. Ayrıca, literatürde daha önce incelenmemiş olan bu yeni kavramlarla ilgili çeşitli kapsama teoremlerini araştıracağız.

Anahtar Kelimeler

• asimptotik istatistiksel eşdeğerlik
• ölçülebilir fonksiyonlar
• Deferred istatistiksel yakınsaklık
• pringsheim limit

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