Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions

Budak, HÜSEYİN; Sarikaya, Mehmet; Dragomir, Silvestru

doi:10.1007/978-981-13-3013-1_14

Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions

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

ADVANCES IN MATHEMATICAL INEQUALITIES AND APPLICATIONS, ss.279-294, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2018
Doi Numarası: 10.1007/978-981-13-3013-1_14
Dergi Adı: ADVANCES IN MATHEMATICAL INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.279-294
Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we first obtain an identity for twice differentiable functions. Then we establish some perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some perturbed versions of Ostrowski type inequalities for mapping whose second derivatives are either of bounded variation or Lipschitzian.