Atıf İçin Kopyala
Kocak S., Limoncu M.
REAL ANALYSIS EXCHANGE, cilt.47, sa.1, ss.103-120, 2022 (ESCI)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
47
Sayı:
1
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Basım Tarihi:
2022
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Doi Numarası:
10.14321/realanalexch.47.1.1602263520
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Dergi Adı:
REAL ANALYSIS EXCHANGE
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Derginin Tarandığı İndeksler:
Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, Public Affairs Index, zbMATH, DIALNET
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Sayfa Sayıları:
ss.103-120
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Anahtar Kelimeler:
generalized convexity, differential inequality, Alexandrov geometry
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Anadolu Üniversitesi Adresli:
Evet
Özet
We give an elementary framework of generalized convexity in terms of comparison of a given function with reference functions from a chosen set. As important examples we consider reference sets used in Alexandrov geometry and give simple proofs for the characterization of generalized convexity in form of differential inequalities.