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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The results provided new inequalities for the class of classical convex functions and the class of harmonic convex functions.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, new lemmas on $p-$convex and $s-p-$convex functions were derived utilizing the integral $\int_{j}^{k} \frac{\left(x^p - j^p\right)^f \left(k^p - x^p\right)^g m(x)}{x^{(f+g)p}} \,dx$.
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Temel Bulgular & Veri:Through this equality, new integral inequalities were established, and novel upper bounds were obtained with the aid of Euler's beta and hypergeometric functions.
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Sonuç & Katkı:The results provided new inequalities for the class of classical convex functions and the class of harmonic convex functions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$P-$convex function · $s-p-$convex function · harmonically convex function
Abstract
In this study, new lemmas on $p-$convex and $s-p-$convex functions were derived utilizing the integral $\int_{j}^{k} \frac{\left(x^p - j^p\right)^f \left(k^p - x^p\right)^g m(x)}{x^{(f+g)p}} \,dx$. Through this equality, new integral inequalities were established, and novel upper bounds were obtained with the aid of Euler's beta and hypergeometric functions. The results provided new inequalities for the class of classical convex functions and the class of harmonic convex functions.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Turhan, S., Kılıç, A., İşcan, İ. (2025). New integral inequalities involving p-convex and s-p-convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 1. https://doi.org/10.31801/cfsuasmas.1448993