Yazarlar
- Kadakal, Mahir(13)
- Kadakal, Huriye(10)
- İşcan, İmdat(4)
- Iscan, Imdat(3)
- Ataman, Canan(1)
- Bekar, Kerim(1)
- Gülsu, Nagihan kurt(1)
- Işcan, Imdat(1)
- Kadakal, H.(1)
- Kadakal, M.(1)
- Ozcan, Serap(1)
- Özcan, Serap(1)
- İmdat, Işcan(1)
- İşcan, İ.(1)
Yayınlar
- MakaleAçık Erişim2025EARTHQUAKE -FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS
Özcan, Serap; Kadakal, Mahir; Iscan, Imdat; Kadakal, Huriye
As researchers, our primary commitment is to engage in the creation of scientific and academic knowledge. Recognizing the importance of societal impact, we also strive to contribute to social awareness through our work. Natural disasters, such as floods, earthquakes, avalanches, landslides, tsunamis, and others, frequently afflict regions globally, resulting in profound human losses and extensive material damage. Notably, the earthquake that struck our country on February 6, 2023, marked as the disaster of the century, deeply affected eleven provinces, leading to a tragic loss of tens of thousands of lives. In this paper, we investigate the concept of earthquake P-functions. We establish the Hermite-Hadamard inequality for this class of functions and derive several refinements of the Hermite-Hadamard type inequality for functions whose first derivative, in absolute value, at a certain power, is an earthquake P-function. We present some applications of the trapezoidal formula. We also provide new bounds for special means of different non-negative real numbers.
- 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 Erişim2024HG-CONVEX FUNCTIONS
Gülsu, Nagihan kurt; Iscan, Imdat; Kadakal, Mahir; Bekar, Kerim
In this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard's type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.
- MakaleAçık Erişim2024GENERALIZED n-POLYNOMIAL P- FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS
Ozcan, Serap; Kadakal, Mahir; Iscan, Imdat; Kadakal, Huriye
In this paper, we introduce the notion of generalized n-polynomial Pfunction. We explore some algebraic properties of this function class. Additionally, we establish a new trapezium type inequality for this generalized class of functions and derive several refinements of the trapezium type inequality for functions whose first derivative in absolute value at a certain power is generalized n-polynomial P-function. Finally, we conclude our paper by exploring some applications of the results we have obtained in the context of special means. Our novel findings generalize previously known results in the literature.
AtıfWoS1OpenAlex1
İncele - 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 - MakaleAçık Erişim2024Scopus SJRQ4Some Hermite-Hadamard type integral inequalities for functions whose first derivatives are trigonometrically ρ-convex
Kadakal, Huriye; Kadakal, Mahir
In this manuscript, we obtain refinements of the Hermite-Hadamard type inequalites for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is trigonometrically ρ-convex. We also show that our results coincide with previous results.
AtıfScopus3OpenAlex1İncele - 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 - MakaleAçık Erişim2024Scopus SJRQ3Some New Integral Inequalities for Exponential Type P-functions
Kadakal, Mahir; İmdat, Işcan; Kadakal, Huriye
In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the authors 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.
AtıfScopus1WoS2İncele - MakaleYalnız künye2024Scopus SJRQ3Exponential Convex Functions with Respect to s
Kadakal, Mahir
In this paper, we study the concept of exponential convex functions with respect to s and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (HH) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to s. Our results coincide with the results obtained previously in special cases.
AtıfScopus1WoS2İncele - 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 - MakaleAçık Erişim2024Scopus SJRQ3Construction of a new generalization for n-polynomial convexity with their certain inequalities
Kadakal, Mahir; İşcan, İmdat; Kadakal, Huriye
In this paper, we first construct a new generalization of n-polynomial convex function. That is, this study is a generalization of the definition of "n-polynomial convexity" pre-viously found in the literature. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n-polynomial convexity. Also, we see that the obtained results in the paper while comparing with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.
AtıfScopus7WoS7OpenAlex7TR Dizin1
İncele - MakaleAçık Erişim2023Scopus SJRQ3Harmonic trigonometrically convexity
Kadakal, Huriye
In this study, we introduce and study the concept of harmonic trigonometrically convex functions and their some algebric properties. We prove two Hermite-Hadamard type 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, raised to a certain power which is greater than one, respectively at least one, is harmonic trigonometrically convex.
AtıfScopus10WoS12OpenAlex11İncele - 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 - MakaleAçık Erişim2022Strongly n-polynomial convexity and related inequalities
Ataman, Canan; Kadakal, Mahir; İşcan, İmdat
In this paper, we introduce and study the concept of strongly n-polynomial convexity functions and their some algebraic properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is strongly n-polynomial convexity. Also, we compare the obtained results with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give better approach than the others.
AtıfScopus4OpenAlex4İncele - MakaleYalnız künye2022(m1, m2)-Geometric Arithmetically Convex Functions and Related Inequalities
Kadakal, Mahir
In this manuscript, we introduce and study the concept of (m1, m2)-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of (m1, m2)-GA-convex functions by using both well-known power mean and Hölder’s integral inequalities.
AtıfScopus2İncele