Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function
Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. With the help of this lemma, we have obtained many integral inequalities and generalisations for trigonomet...
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| Format: | Article |
| Language: | English |
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Sakarya University
2020-08-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1210231 |
| _version_ | 1826923668649803776 |
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| author | Sercan Turhan |
| author_facet | Sercan Turhan |
| author_sort | Sercan Turhan |
| collection | DOAJ |
| description | Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. With the help of this lemma, we have obtained many integral inequalities and generalisations for trigonometric P-function. We have shown that it goes down to the studies in special cases which are described in our study. Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. |
| first_indexed | 2025-02-17T14:28:28Z |
| format | Article |
| id | doaj.art-bd93f030262f46008e22ec1a07a9b129 |
| institution | Directory Open Access Journal |
| issn | 2147-835X |
| language | English |
| last_indexed | 2025-02-17T14:28:28Z |
| publishDate | 2020-08-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj.art-bd93f030262f46008e22ec1a07a9b1292024-12-23T08:06:10ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2020-08-0124466567410.16984/saufenbilder.71150728Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P FunctionSercan Turhan0https://orcid.org/0000-0002-4392-2182Giresun UniversityTrigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. With the help of this lemma, we have obtained many integral inequalities and generalisations for trigonometric P-function. We have shown that it goes down to the studies in special cases which are described in our study. Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.https://dergipark.org.tr/tr/download/article-file/1210231hermite-hadamard inequalitysimpson-type inequalityostrowski-type inequalitytrapezoid-type inequalitymidpoint-type inequalitytrigonometrically-p function |
| spellingShingle | Sercan Turhan Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi hermite-hadamard inequality simpson-type inequality ostrowski-type inequality trapezoid-type inequality midpoint-type inequality trigonometrically-p function |
| title | Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function |
| title_full | Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function |
| title_fullStr | Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function |
| title_full_unstemmed | Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function |
| title_short | Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function |
| title_sort | novel results based on generalisation of some integral inequalities for trigonometrically p function |
| topic | hermite-hadamard inequality simpson-type inequality ostrowski-type inequality trapezoid-type inequality midpoint-type inequality trigonometrically-p function |
| url | https://dergipark.org.tr/tr/download/article-file/1210231 |
| work_keys_str_mv | AT sercanturhan novelresultsbasedongeneralisationofsomeintegralinequalitiesfortrigonometricallypfunction |