Browsing by Author "Aslan, I."
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Item Generalized integral inequalities for m-convex functions(American Institute of Physics, 2016) Ekinci, Alper; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, M. Emin; Uludağ Üniversitesi/Eğitim Fakültesi.; AAH-1091-2021; 22734889600In this paper, we prove some new inequalities for the functions whose derivatives in absolute values are m-convex. We obtain generalized inequalities which have the property of giving Hadamard, Ostrowski and Simpson type results by changing parameter.Item Generalized integral inequalities for m-convex functions(American Institute of Physics, 2016) Ekinci, Alper; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi.; AAH-1091-2021; 22734889600In this paper, we prove some new inequalities for the functions whose derivatives in absolute values are m-convex. We obtain generalized inequalities which have the property of giving Hadamard, Ostrowski and Simpson type results by changing parameter.Item Helminth communities of the Turkish endemic fish, Pseudophoxinus crassus (Ladiges, 1960): Four helminth parasites for a new host record(Hindawi Ltd, 2014-01-28) Erk'akan, Füsun; Keskin, Nevin; İnnal, Deniz; Aslan, I.; Aydoǧdu, Ali; Uludağ Üniversitesi/Mustafakemalpaşa Meslek Yüksekokulu.; 6701819349Tuz Golu (Salt Lake) Basin is one of the largest hypersaline lakes in the world and of extremely high biological importance owing to its high diversity and high level of endemism. It is hypothesized that the basin environment and the endemism of Pseudophoxinus crassus - a species of ray-finned fish in the Cyprinidae family and found only in Turkey - might contribute to the host-specific parasite characters. A total of 92 P. crassus specimens were collected by electrofishing between spring 2009 and autumn 2010 from the Incesu Stream in Konya Province, Turkey. By the end of the study period, four parasitic helminth species (Gyrodactylus latus, Asymphylodora imitans, Bothriocephalus acheilognathi and Pomphorhynchus laevis) were recorded. All had been reported previously from other hosts (non-host specific). Among these parasites G. latus and A. imitans are new records for the helminth fauna of Turkey. Prevalence and infestation intensity, length classes, and sex compositions of infested populations, as well as the seasonality of infestation were obtained and the results compared with other studies.Item New generalized inequalities of Hermite-Hadamard type for quasi-convex functions(Amer Institute of Physics, 2016) Yıldız, Çetin; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi.; AAH-1091-2021; 22734889600In this paper, new integral inequalities of Hermite-Hadamard type are developed for n-times differentiable quasi-convex functions.Item New inequalities and applications concerning with second derivative of a function(American Institute of Physics, 2016) Gürbüz, Mustafa; Saykal, Faruk; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, M. Emin; Uludağ Üniversitesi Üniversite/Eğitim Fakültesi.; AAH-1091-2021; 22734889600In this paper, we achieved some new integral inequalities concerning with second derivative of a function. To do this, we used a lemma in [14] for s-convexity (in the second sense) and quasi convexity. We also gave some applications by using our main results.Item New integral inequalities for co-ordinated m-convex functions(American Institute of Physics, 2016-04-18) Akdemir, Ahmet Ocak; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi/Matematik Öğretmenliği Bölümü.; AAH-1091-2021; 22734889600In this paper, we prove some new integral inequalities for co-ordinated m -convex functions by using a new integral identity and basic definitions. We also give some reduced results by selecting special value of parameter m.Item On new Simpson type inequalities for quasi-convex functions via Riemann-Liouville integrals(Amer Inst Physic, 2016) Set, Erhan; Uygun, Nazlı; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi/İlköğretim Bölümü.; AAH-1091-2021; 22734889600In this note, some new Simpson-type inequalities for functions whose derivatives of absolute value are quasi-convex functions with the help of Riemann-Liouville fractional integrals are obtained. Also by special selections of n and alpha we give some reduced results.Item Simpson type inequalities via φ-convexity(Amer Institute of Physics, 2016) Ardıç, Merve Avcı; Akdemir, A. Ocak; Aslan, I.; Bayrak, Y.; Akdemir, A. O.; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi.; 22734889600In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are phi-convex.Item Some Hermite-Hadamard type inequalities for (α, m)-convex functions on the co-ordinates(American Institute of Physics, 2016) Akdemir, Ahmet Ocak; Aslan, I.; Bayrak, Y; Ekinci, A.; Polat, K.; Dadaşoğlu, F.; Türkoğlu, E. A.; Özdemir, Muhamet Emin; Uludağ Üniversitesi/Eğitim Fakültesi/Matematik Öğretmenliği Bölümü.; AAH-1091-2021; 22734889600In this study, we prove some Hermite-Hadamard type integral inequalities for (alpha, m) -convex functions on the co-ordinates on Delta.