@article{article_544123, title={New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous}, journal={Konuralp Journal of Mathematics}, volume={7}, pages={371–379}, year={2019}, author={Erden, Samet}, keywords={Absolutely continuous functions,convex functions,Lipschitzian derivatives,Perturbed inequalities}, abstract={<p style="text-align:justify;"> <span style="font-size:14px;">We firstly derive inequalities for high order differentiable functions  </span> <span style="font-size:14px;">with the property (S) and mappings whose higher derivatives are convex by  </span> <span style="font-size:14px;">using the same equality. Also, it is obtained Hermite Hadamard type and  </span> <span style="font-size:14px;">Bullen type inequalities for higher order differentiable functions. Then, we  </span> <span style="font-size:14px;">establish inequalities for high degree Lipschitzian derivatives via an equality  </span> <span style="font-size:14px;">which was presented previous by Erden in [12]. We also examine connection  </span> <span style="font-size:14px;">in between inequalities obtained in earlier works and our results.  </span> </p> <p> </p> <div style="text-align:justify;"> <font face="Arial, Helvetica, sans-serif" size="3"> <br /> </font> </div> <strong style="font-family:Arial, Helvetica, sans-serif;font-size:medium;"> <font color="#006699"> <br /> </font> </strong>}, number={2}, publisher={Mehmet Zeki SARIKAYA}