On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
View: 150

This Paper With 15 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_SCMA-19-2_001

تاریخ نمایه سازی: 28 آبان 1401

Abstract:

In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known mathematical analysis procedures are used. The third part of the study includes various applications confirming the accuracy of the generated results. A brief conclusion of the study has been given in the last part of the paper.

Authors

Merve Avcı Ardıç

Adıyaman University, Faculty of Science and Arts, Department of Mathematics, Adıyaman, Turkey.

Ahmet Akdemir

Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, ۰۴۱۰۰, Ağrı, Turkey.

Erhan Set

Ordu University, Faculty of Science and Letters, Department of Mathematics,Ordu, Turkey.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • G.D. Anderson, M.K. Vamanamurthy and M. Vuorinen, Generalized convexity and ...
  • A.O. Akdemir, M.E. Ozdemir, M. Avci Ardic and A. Yalcin, ...
  • M. Avci Ardic, A.O. Akdemir and K. Yildiz, On some ...
  • M. Avci Ardic, A.O. Akdemir and E. Set, New Ostrowski ...
  • H.A. Coban, I. Iscan and M. Kunt, New Ostrowski type ...
  • S.S. Dragomir, Inequalities of Hermite-Hadamard type for GA- convex functions, ...
  • I. Iscan, Jensen-Mercer inequality for GA-convex functions and some related ...
  • Y. Khurshid, M.A. Khan and Y.-M. Chu, Conformable fractional integral ...
  • M. Kunt and I. Iscan, Fractional Hermite-Hadamard-Fejer type inequalities for ...
  • M.A. Latif, New Hermite-Hadamard type integral inequalities for GA-convex functions ...
  • C.P. Niculescu, Convexity according to the geometric mean, Math. Inequal. ...
  • C.P. Niculescu, Convexity according to means, Math. Inequal. Appl., ۶ ...
  • R.A. Satnoianu, Improved GA-convexity inequalities, Journal of Inequalities in Pure ...
  • S.-H. Wang and X.-T. Shi, Hermite-Hadamard type inequalities for n-time ...
  • X.-M. Zhang, Y.-M. Chu and X.-H. Zhang, The Hermite-Hadamard type ...
  • T.-Y. Zhang, A.-P. Ji and F. Qi, Some inequalities of ...
  • نمایش کامل مراجع