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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous

Samet ERDEN
Sayfa
371–379
Yayın Tarihi
2019-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also examine connection in between inequalities obtained in earlier works and our results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality.
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Temel Bulgular & Veri:Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12].
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Sonuç & Katkı:We also examine connection in between inequalities obtained in earlier works and our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Absolutely continuous functions · convex functions · Lipschitzian derivatives

Abstract

We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality. Also, it is obtained Hermite Hadamard type and Bullen type inequalities for higher order differentiable functions. Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12]. We also examine connection in between inequalities obtained in earlier works and our results.

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Bu Makaleye Atıf Yap

ERDEN, S. (2019). New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 371–379. https://ajindex.com/articles/786497

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Kaynakça (15)

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  2. H. Budak, S. Erden and M. Z. Sarikaya, New weighted ostrowski type inequalities for mappings whose nth derivatıves are of bounded variation, International Journal of Analysis and Applications, 12 (2016), no. 1, 71-79
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