Approximation properties of modified q- Phillips operators

引进一类修正Q-PHIllIPS算子,并研究该算子列的一些逼近性质.得到算子列的一个kOrOVkIn型收敛定理,给出了算子列收敛速度的估计和一个VOrOnOVSkAJA型结果.In this paper,a kind of modified q- Phillips operators is introduced,some approximate properties of the operators are studied.A convergence theorem of Korovkin type is established.Also,an estimate for the rate of convergence and a Voronovskaja- type result are given.国家自然科学基金资助项目(61170324); 福建省自然科学基金资助项目(2014J01021); 福建省教育厅科技资助项目(2012JA12324

ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS

National Natural Science Foundation of China [61170324]; Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2010J01012]In this paper, a kind of modified q-Bernstein-Schurer operators is introduced. The Korovkin type statistical approximation property of these operators is investigated. Then the rates of statistical convergence of these operators are also studied by means of modulus of continuity and the help of functions of the Lipschitz class. Furthermore, a Voronovskaja type result for these operators is given

King type modification of q-Bernstein-Schurer operators

National Natural Science Foundation of China [61170324]; Class A Science and Technology Project of Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2010J01012]Very recently the q-Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve x (2) (2003), in this paper we modify q-Bernstein-Schurer operators to King type modification of q-Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions x (2) and study the approximation properties of these operators. We establish a convergence theorem of Korovkin type. We also get some estimations for the rate of convergence of these operators by using modulus of continuity. Furthermore, we give a Voronovskaja-type asymptotic formula for these operators

Approximation by complex q-Bernstein-Schurer operators in compact disks

National Natural Science Foundation of China [61170324]; Class A Science and Technology Project of Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2010J01012]In this paper we introduce a class of complex q-Bernstein-Schurer operators and study the approximation properties of these operators. We obtain the order of simultaneous approximation and a Voronovskaja-type result with a quantitative estimate for these complex q-Bernstein-Schurer operators attached to analytic functions in compact disks. More important, our results show the overconvergence phenomenon for these complex operators

Some statistical approximation properties of Kantorovich-type q-Bernstein-Stancu operators

National Natural Science Foundation of China [61170324]; Class A Science and Technology Project of Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2013J01017]In this paper two kinds of Kantorovich-type q-Bernstein-Stancu operators are introduced, and the statistical approximation properties of these operators are investigated. Furthermore, by means of modulus of continuity, the rates of statistical convergence of these operators are also studied

活性炭によるかつお節加工残滓熱水抽出液中の多環芳香族炭化水素類（pahs）の除去

かつお節加工残滓を安全かつ有効に利用する研究の一環として，まず加工残滓の熱水抽出液に PAHs を合計 3217 μg/L 添加したモデル試料の活性炭による PAHs 最適除去条件を有用成分への影響も考慮しつつ検討した。その結果，PAHs 除去率は最大 99.6% であったが，活性炭の種類による影響が大きかった。続いて，市販品の黒粉 2 種を熱水，エタノール，酢酸エチルで抽出し，PAHs 浸出量を分析した。エタノール抽出で PAHs が最大 12823 μg/L 浸出し，市販品にも高濃度の PAHs が含まれていることが分かった。As part of our ongoing study for safely and eŠectively using dried bonito processing residue while considering its useful components, we investigated the optimal conditions for removal of polycyclic aromatic hydrocarbons (PAHs) from dried bonito processing residue. First, as model sample, we added 3217 mg/L of PAHs to a hot water extract of processing residues to verify the PAH removal rate with activated carbon. The maximum PAH removal rate was 99.6, and the PAH removal rate was found to be dependent on the type of activated carbon.We then performed PAH extraction on two commercially available ``kuroko\u27\u27 (dried bonito shavings powder) products using hot water, ethanol, and ethyl acetate, and analyzed the PAH amount in each extract. The highest amount of PAHs (12823 mg/L) was detected in the ethanol extract, revealing that commercial products contain highly concentrated PAHs