Yazar "Liu, Wenjun" seçeneğine göre listele
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Öğe A unified generalization of some quadrature rules and error bounds(ELSEVIER SCIENCE INC, 2013) Liu, Wenjun; Jiang, Yong; Tuna, AdnanBy introducing a parameter, we give a unified generalization of some quadrature rules, which not only unify the recent results about error bounds for generalized mid-point, trapezoid and Simpson's rules, but also give some new error bounds for other quadrature rules as special cases. Especially, two sharp error inequalities are derived when n is an odd and an even integer, respectively. (C) 2012 Elsevier Inc. All rights reserved.Öğe Diamond-alpha weighted Ostrowski type and Gruss type inequalities on time scales(ELSEVIER SCIENCE INC, 2015) Liu, Wenjun; Tuna, AdnanIn this paper we obtain some weighted Ostrowski type and Gruss type inequalities on time scales by using the recent theory of combined dynamic derivatives on time scales. These results extend some known results in the literature and give some other interesting inequalities as special cases. (C) 2015 Elsevier Inc. All rights reserved.Öğe NEW WEIGHTED CEBYSEV-OSTROWSKI TYPE INTEGRAL INEQUALITIES ON TIME SCALES(ELEMENT, 2016) Tuna, Adnan; Liu, WenjunIn this paper we obtain some weighted Cebysev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to L-p (a, b) (1 <= p <= infinity). We also give some other interesting inequalities as special cases.Öğe NEW WEIGHTED OSTROWSKI AND OSTROWSKI-GRUSS TYPE INEQUALITIES ON TIME SCALES(UNIV AL I CUZA, FAC MATH, 2014) Liu, Wenjun; Tuna, Adnan; Jiang, YongIn this paper we derive new weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.Öğe On weighted Ostrowski type, Trapezoid type, Gruss type and Ostrowski-Gruss like inequalities on time scales(TAYLOR & FRANCIS LTD, 2014) Liu, Wenjun; Tuna, Adnan; Jiang, YongIn this paper, we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski-type, Trapezoid-type, Gruss-type and Ostrowski-Gruss-like inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.Öğe Some new generalizations of Ostrowski type inequalities on time scales involving combination of Delta-integral means(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2014) Jiang, Yong; Ruzgar, Huseyin; Liu, Wenjun; Tuna, AdnanIn this paper we obtain some new generalizations of Ostrowski type inequalities on time scales involving combination of Delta-integral means, i.e., a new Ostrowski type inequality on time scales involving combination of Delta-integral means, two Ostrowski type inequalities for two functions on time scales, and some new perturbed Ostrowski type inequalities on time scales. We also give some other interesting inequalities as special cases. (C)2014 All rights reserved.Öğe Weighted Ostrowski, Ostrowski-Gruss and Ostrowski-Cebysev type inequalities on time scales(KOSSUTH LAJOS TUDOMANYEGYETEM, 2012) Tuna, Adnan; Jiang, Yong; Liu, WenjunIn this paper we derive some weighted Ostrowski, Ostrowski-Gruss and Ostrowski-Cebysev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.Öğe WEIGHTED OSTROWSKI, TRAPEZOID AND GRUSS TYPE INEQUALITIES ON TIME SCALES(ELEMENT, 2012) Liu, Wenjun; Tuna, AdnanIn this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Gruss type inequalities on time scales, respectively. These results not only provide a generalization of the known results, but also give some other interesting inequalities on time scales as special cases.
