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Dergiler / Fundamental Journal of Mathematics and Applications / 2025 / Volume: 8 Issue: 4

Cesro Summable and Statistically Convergent Sequences in Polya's Sense

Elif Nuray Yıldırım(İSTANBUL TİCARET ÜNİVERSİTESİ)0000-0002-2934-892X
Fatih Nuray(AFYON KOCATEPE ÜNİVERSİTESİ)0000-0003-0160-4001
Sayfa
—
Yayın Tarihi
2025-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Additionally, we examine the connection between strongly Polya summable and Polya statistically convergent sequences, particularly for bounded and unbounded cases.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper introduces and explores the concepts of Polya summability, strongly Polya summability, and statistical convergence in the Polya sense, establishing their relationships with classical summability methods, particularly Cesaro summability.
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Temel Bulgular & Veri:We provide sufficient conditions for their equivalence, highlight key distinctions, and demonstrate these results through explicit examples.
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Sonuç & Katkı:Additionally, we examine the connection between strongly Polya summable and Polya statistically convergent sequences, particularly for bounded and unbounded cases.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical convergence · Polya means · Polya statistically convergence

Abstract

This paper introduces and explores the concepts of Polya summability, strongly Polya summability, and statistical convergence in the Polya sense, establishing their relationships with classical summability methods, particularly Cesaro summability. We provide sufficient conditions for their equivalence, highlight key distinctions, and demonstrate these results through explicit examples. Notably, while every Cesaro summable sequence is Polya summable, the converse does not always hold. Additionally, we examine the connection between strongly Polya summable and Polya statistically convergent sequences, particularly for bounded and unbounded cases.

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Bu Makaleye Atıf Yap

Yıldırım, E. N., Nuray, F. (2025). Cesro Summable and Statistically Convergent Sequences in Polya's Sense. Fundamental Journal of Mathematics and Applications, Volume: 8 Issue: 4. https://doi.org/10.33401/fujma.1649410

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Kaynakça (11)

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