Atıf İçin Kopyala
BAYRAKTAR B., Nápoles J., Rabossi F.
Problemy Analiza, cilt.12-29, sa.2, ss.3-23, 2022 (ESCI)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
12-29
Sayı:
2
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Basım Tarihi:
2022
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Doi Numarası:
10.15393/j3.art.2022.11190
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Dergi Adı:
Problemy Analiza
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Derginin Tarandığı İndeksler:
Emerging Sources Citation Index (ESCI), Scopus
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Sayfa Sayıları:
ss.3-23
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Anahtar Kelimeler:
convex function, Hermite-Hadamard inequality, Simp-son-type inequality, Lipschitz conditions, Lagrange theorem, Rie-mann-Liouville fractional integral, HERMITE-HADAMARD TYPE, S-CONVEX, DIFFERENTIABLE MAPPINGS, SIMPSONS TYPE, REAL NUMBERS, DERIVATIVES
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Bursa Uludağ Üniversitesi Adresli:
Evet
Özet
© Petrozavodsk State University, 2022In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.