Yazarlar
- Kadakal, Huriye(6)
- Kadakal, Mahir(5)
- İşcan, İmdat(3)
- Işcan, Imdat(1)
- Kadakal, H.(1)
- Kadakal, M.(1)
- Özcan, Serap(1)
- İşcan, İ.(1)
Yayınlar
- MakaleAçık Erişim2025Scopus SJRQ3INVERSE TRIGONOMETRICALLY CONVEXITY AND BETTER APPROXIMATIONS
Kadakal, Huriye; Kadakal, Mahir
In this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Hölder-İşcan and improved power-mean integral inequalities give a better approach than Hölder and power-mean inequalities.
- MakaleAçık Erişim2025Scopus SJRQ2Some new Simpson type integral inequalities for (s, P)-functions
Kadakal, M.; İşcan, İ.; Kadakal, H.
In this paper, we establish some new Simpson type inequalities for functions, whose first deriva-tive in absolute value is (s, P)-function by using Hölder, power-mean and Hölder-İşcan inequalities. After that, we compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation, than the Hölder inequality. Also, some applications to special means of real numbers are also given.
- MakaleAçık Erişim2024Scopus SJRQ4Better approximations for quasi-convex functions
Kadakal, Huriye
In this paper, by using Hölder-Işcan, Hölder integral inequality and an general identity for diérentiable functions we can get new estimates on generalization of Hadamard, Ostrowski and Simpson type integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained Hölder-Işcan integral inequality is better than the result obtained Hölder inequality.
AtıfScopus1WoS1
İncele - MakaleYalnız künye2024Scopus SJRQ3LOGARITHMIC SEMI P-FUNCTION AND SOME NEW INEQUALITIES
Kadakal, Mahir; İşcan, İmdat
In this study, we introduce and study the concept of logarithmic semi P functions and their some algebraic properties. Then, we obtain the Hermite-Hadamard integral inequality for the log semi-P-functions. After that, we obtain some new inequalities by using Hölder, Hölder-İşcan and power-mean integral inequalities and show that the result obtained with Hölder-İşcan inequality gives better approach than the Hölder integral inequality. Some applications to special means of real numbers are also given.
AtıfScopus1İncele - MakaleYalnız künye2024Scopus SJRQ4Earthquake convexity and some new related inequalities
Kadakal, Mahir; Işcan, Imdat; Kadakal, Huriye
Unfortunately, eleven of our provinces were severely affected due to two severe earthquakes that occurred in our country, the Republic of Turkey, on February 6, 2023. As a result, thousands of buildings were destroyed and tens of thousands of our citizens lost their lives. From past to present, such disasters have occurred in many parts of our world and will continue to happen. In order to raise awareness for researchers and academicians reading our article, we will give a new definition of convexity in this article, and we will call it "earthquake convexity". In this paper, we study some algebraic properties of the earthquake convexity. Then we compare the results obtained with both Hölder, Hölder-Işcan inequalities and power-mean, improved power-mean integral inequalities and show that the results obtained with Hölder-Işcan and improved power-mean inequalities are better than the others. Some applications to special means of real numbers are also given.
AtıfWoS1OpenAlex3İncele - MakaleYayıncıda açık erişim2024Scopus SJRQ2Generalized strongly n-polynomial convex functions and related inequalities
Özcan, Serap; Kadakal, Mahir; İşcan, İmdat; Kadakal, Huriye
This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored. The Hermite–Hadamard inequality is established for generalized strongly n-polynomial convex functions. Additionally, new integral inequalities of Hermite–Hadamard type are derived for this class of functions using the Hölder–İşcan integral inequality. The results obtained in this paper are compared with those known in the literature, demonstrating the superiority of the new results. Finally, some applications for special means are provided.
AtıfScopus5WoS5OpenAlex6İncele - MakaleAçık Erişim2023Scopus SJRQ3Semi P-geometric-arithmetically functions and some new related inequalities
Kadakal, Mahir; İşcan, İmdat; Kadakal, Huriye
In this manuscript, the authors introduce the concept of the semi P-geometric–arithmetically functions (semi P-GA functions) and give their some algebraic properties. Then, they get Hermite-Hadamard’s integral inequalities for semi P-GA-functions (geometric-arithmetically convex). In addition, the authors obtain new inequalities by using Hölder and Hölder-İşcan integral inequalities with the help of an identity. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
AtıfScopus5WoS4OpenAlex3İncele - MakaleYalnız künye2022INEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE ARITHMETIC-HARMONICALLY FUNCTIONS
Kadakal, Huriye
In this work, by using an integral identity together with both the Holder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.
AtıfWoS1İncele