SavedAdd your journal

Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2018 / Cilt: 8 - Sayı: 2

Some new integral inequalities for Lipschitzian functions

İmdat İŞCAN
Mahir KADAKAL
Alper AYDIN
Pages
259–265
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, applications for some special means asarithmetic, geometric, logarithmic, 𝑝-logarithmic, harmonic, identric are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is about obtaining some new type of integral inequalities for functionsfrom the Lipschitz class.
📊
Key Findings & Data:For this, some new integral inequalities related to thedifferences between the two different types of integral averages for Lipschitzianfunctions are obtained.
💡
Conclusion & Impact:Moreover, applications for some special means asarithmetic, geometric, logarithmic, 𝑝-logarithmic, harmonic, identric are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper is about obtaining some new type of integral inequalities for functionsfrom the Lipschitz class. For this, some new integral inequalities related to thedifferences between the two different types of integral averages for Lipschitzianfunctions are obtained. Moreover, applications for some special means asarithmetic, geometric, logarithmic, 𝑝-logarithmic, harmonic, identric are given.

🔖

Cite This Article

İŞCAN, İ., KADAKAL, M., AYDIN, A. (2022). Some new integral inequalities for Lipschitzian functions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 8 - Sayı: 2, 259–265. https://ajindex.com/articles/440653

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (5)

  1. Hadamard J. (1893). Étude sur les propriétés des fonctions entiéres et en particulier d’une fonction considérée par Riemann, J. Math. Pures Appl., 58 (1893), 171–215
  2. İşcan, İ. (2014). Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6), 935–942.
  3. Kilbas, A.A. Srivastava, H.M. and Trujillo, J. (2006). Theory and applications of fractional differential equations, Elsevier, Amsterdam. Roberts, A.W. and Varberg, D.E. (1973) Convex Functions. Academic Press, 300pp, New York. Dragomir, S.S. Cho, Y.J. and Kim, S.S. (2000). Inequalities of Hadamard's type for Lipschitzian mappings and their applications, Journal of Mathematical Analysis and Applications, vol. 245, no. 2, pp. 489-501.
  4. Hwang, S.R. Hsu, K.C. and Tseng, K.L. (2013). Hadamard-type inequalities for Lipschitzian functions in one and two variables with applications, Journal of Mathematical Analysis and Applications, vol. 405, no. 2, 546-554.
  5. İşcan, İ. (2014). New general integral inequalities for Lipschitzian functions via Hadamard fractional integrals, International Journal of Analysis, volume 2014, Article ID 353924, 8 pages. İşcan, İ. (2016). Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 4 (1), 77-87.