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In the paper, neutrosophic statistical analysis of temperature data of different cities in the southeastern Anatolia region of Turkey is given. The neutrosophic mean and neutrosophic coefficient of variation are computed using the temperature data. From the analysis, it is concluded that the temperatures of Mardin and Şanlıurfa cities are more consistent than the other cities in Turkey. In addition, the neutrosophic results are compared with results under classical statistics. Based on the comparative study, it can be concluded that neutrosophic statistical results are more adequate, flexible, and more informative than classical statistics. [ABSTRACT FROM AUTHOR]

In this study, the concepts of lacunary (H , 1) − summability of order α , lacunary strongly harmonic summability of order α , lacunary statistical logarithmic convergence of order α of sequences of real numbers are introduced and relations between these concepts are investigated. [ABSTRACT FROM AUTHOR]

In this paper, the concept of a strongly lacunary convergence of order α in the neutrosophic normed spaces is introduced. A few fundamental properties of this new concept are investigated. [ABSTRACT FROM AUTHOR]

In this study, by using definition of lacunary statistical convergence we introduce the concepts of f- lacunary statistical convergence of order ß and strongly f- lacunary summability of order β of double sequences for different sequences of fractional order spaces. Also, we establish some inclusion relations between these concepts. [ABSTRACT FROM AUTHOR]

Study of difference sequences is a recent development in the summability theory. Sometimes a situation may arise that we have a sequence at hand and we are interested in sequences formed by its successive differences and in the structure of these new sequences. Studies on difference sequences were introduced in the 1980s and after that many mathematicians studied these kind of sequences and obtained some generalized difference sequence spaces. In this study, we generalize the concepts of weighted statistical convergence and weighted [Np]-summability of real (or complex) numbers sequences to the concepts of m-weighted statistical convergence of order a and weighted x Np a- (m, r)-summability of order a by using generalized difference operator m and examine the relationships between m-weighted statistical convergence of order a and weighted x Np a- (m, r)-summability of order a. Our results are more general than the corresponding results in the existing literature. [ABSTRACT FROM AUTHOR]

In this article, we introduce and investigate the concepts of Δθm‐asymptotically statistical equivalent of order α˜ and strong Δθm‐asymptotically equivalent of order α˜ of double sequences. Also, we give some relationships related to these concepts. [ABSTRACT FROM AUTHOR]

The main purpose of this work is to introduce and examine the concept of (λ,f)-statistical boundedness of order α and give the relations between some known concepts and (λ,f)-statistical boundedness of order α. [ABSTRACT FROM AUTHOR]

In this paper, we have introduced the concepts of ideal Δα-lacunary statistical convergence of order β with the fractional order and ideal Δα-lacunary strongly convergence of order β with the fractional order α (where 0 < β ≤ 1) and given some relations about these concepts. [ABSTRACT FROM AUTHOR]