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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

On two times differentiable preinvex and prequasiinvex functions

İmdat İşcan0000-0001-6749-0591
Mahir Kadakal0000-0002-0240-918X
Huriye Kadakal0000-0002-0304-7192
Pages
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Publication Date
2019-02-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers.
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Key Findings & Data:The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers.
💡
Conclusion & Impact:By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Invex set · preinvex and prequasiinvex · Hölder integral inequality

Abstract

The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers. By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.

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Cite This Article

İşcan, İ., Kadakal, M., Kadakal, H. (2019). On two times differentiable preinvex and prequasiinvex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.501407

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