New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications
Yıl: 2023 Cilt: 72 Sayı: 4 Sayfa Aralığı: 1110 - 1125 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1262668 İndeks Tarihi: 25-12-2023
New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications
Öz: New proofs of the classical Fejer inequality and discrete Hermite-Hadamard inequality (HH) are presented and several applications are given, including (HH)-type inequalities for the functions, whose derivatives have inflection points. Morever, some estimates from below and above for the first moments of functions $f:[a,b]rightarrow mathbb{R}$ about the midpoint $c=(a+b)/2$ are obtained and the reverse Hardy inequality for convex functions $f:(0,infty )rightarrow (0,infty )$ is established.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | SEKİN Ç, TAMAR M, ALIYEV I (2023). New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. , 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| Chicago | SEKİN Çağla,TAMAR MEHMET EMIN,ALIYEV ILHAM New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. (2023): 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| MLA | SEKİN Çağla,TAMAR MEHMET EMIN,ALIYEV ILHAM New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. , 2023, ss.1110 - 1125. 10.31801/cfsuasmas.1262668 |
| AMA | SEKİN Ç,TAMAR M,ALIYEV I New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. . 2023; 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| Vancouver | SEKİN Ç,TAMAR M,ALIYEV I New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. . 2023; 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| IEEE | SEKİN Ç,TAMAR M,ALIYEV I "New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications." , ss.1110 - 1125, 2023. 10.31801/cfsuasmas.1262668 |
| ISNAD | SEKİN, Çağla vd. "New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications". (2023), 1110-1125. https://doi.org/10.31801/cfsuasmas.1262668 |
| APA | SEKİN Ç, TAMAR M, ALIYEV I (2023). New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(4), 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| Chicago | SEKİN Çağla,TAMAR MEHMET EMIN,ALIYEV ILHAM New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.4 (2023): 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| MLA | SEKİN Çağla,TAMAR MEHMET EMIN,ALIYEV ILHAM New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.4, 2023, ss.1110 - 1125. 10.31801/cfsuasmas.1262668 |
| AMA | SEKİN Ç,TAMAR M,ALIYEV I New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| Vancouver | SEKİN Ç,TAMAR M,ALIYEV I New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 1110 - 1125. 10.31801/cfsuasmas.1262668 |
| IEEE | SEKİN Ç,TAMAR M,ALIYEV I "New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.1110 - 1125, 2023. 10.31801/cfsuasmas.1262668 |
| ISNAD | SEKİN, Çağla vd. "New proofs of Fejer's and discrete Hermite-Hadamard inequalities with applications". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/4 (2023), 1110-1125. https://doi.org/10.31801/cfsuasmas.1262668 |
