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ON NEW INEQUALITIES OF SIMPSON'S TYPE FOR GENERALIZED CONVEX FUNCTIONS
Sarikaya, Mehmet Zeki,Budak, Huseyin,Erden, Samet The Kangwon-Kyungki Mathematical Society 2019 한국수학논문집 Vol.27 No.2
In this paper, using local fractional integrals on fractal sets $R^{\alpha}(0<{\alpha}{\leq}1)$ of real line numbers, we establish new some inequalities of Simpson's type based on generalized convexity.
On a New Ostrowski-Type Inequality and Related Results
Set, Erhan,Sarikaya, Mehmet Zeki Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.4
We provide a new Ostrowski-type inequality involving functions of two independent variables, as well as some related results.
On weighted generalization of opial type inequalities in two variables
Huseyin Budak,Mehmet Zeki Sarikaya,Artion Kashuri 강원경기수학회 2020 한국수학논문집 Vol.28 No.4
In this paper, we establish some weighted generalization of Opial type inequalities in two independent variables for two functions. We also obtain weighted Opial type inequalities by using $p$-norms. Special cases of our results reduce to the inequalities in earlier study.
Generalization of Hardy-Hilbert's Inequality and Applications
Saglam, Aziz,Yildirim, Huseyin,Sarikaya, Mehmet Zeki Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.1
In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Some New Inequalities of Hermite-Hadamard's Type
Saglam, Aziz,Yildirim, Huseyin,Sarikaya, Mehmet Zeki Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.3
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.
On the Hilbert Type Integral Inequalities with Some Parameters and Its Reverse
Yildirim, Huseyin,Ozkan, Umut Mutlu,Sarikaya, Mehmet Zeki Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.4
This paper deals with some new generalizations of the Hardy-Hilbert type integral inequalities with some parameters. We also consider the equivalent inequalities and the reverse forms.
Munish Kumar Gupta,P. Niesłony,Murat Sarikaya,Mehmet Erdi Korkmaz,Mustafa Kuntoğlu,G. M. Królczyk 한국정밀공학회 2023 International Journal of Precision Engineering and Vol.10 No.4
The aerospace and automotive industries make extensive use of aluminium and its alloys. Contrarily, machining of aluminium (Al) alloys presents a number of difficulties, including, but not limited to, poor surface finishing, excessive tool wear, decreased productivity etc. Therefore, it’s very important to measure the machining characteristics during machining of aluminium alloy with sustainable cooling strategies. In this work, a new approach of measurement was adopted to measure the critical geometrical aspects of tool wear, surface roughness, power consumption and microhardness while machining AA2024-T351 alloy under dry, minimum quantity lubrication (MQL), liquid nitrogen (LN2) and carbon dioxide (CO2) cooling conditions. Initially, the various aspects of tool wear were studied with the help of Sensofar Confocal Microscope integrated with Mountains map software and then, the other results such as surface roughness, power consumption and microhardness were measured as per the ISO standards. The outcome of these measurement studies confirms that LN2 and CO2 cooling is helpful in improving the machining characteristics of AA2024-T351 alloy. When compared to dry conditions, the surface roughness values of MQL, LN2, and CO2 all have values that are lowered by 11.90%, 30.95%, and 39.28% respectively, and also power consumption values were lowered by 3.11%, 6.46% and 11.5% for MQL, CO2 and LN2 conditions, respectively.
New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
Yildiz, Cetin,Ozdemir, Muhamet Emin,Sarikaya, Mehmet Zeki Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.