NEW INEQUALITIES OF OSTROWSKI'S TYPE FOR <i>S</i>-CONVEX FUNCTIONS IN THE SECOND SENSE WITH APPLICATIONS

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Set E., ÖZDEMİR M. E., Sarikaya M. Z.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, sa.1, ss.67-82, 2012 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2012
• Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.67-82
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error estimates for the midpoint formula are obtained.