Browsing by Author "Polat, K."
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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 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.