ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS

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Sarikaya M. Z., Erden S., Budak H.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.37, sa.1, ss.187-205, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 37 Sayı: 1
• Basım Tarihi: 2019
• Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.187-205
• Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, an important integral equality is derived. Then, we establish several new inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are obtained by using Gruss inequality and Chebyshev inequality. The results presented here would provide extensions of those given in earlier works