L. Leindler

On the Uniform Convergence and Boundedness of a Certain Class of Sine Series

Three classical results pertaining to the uniform convergence or boundedness of sine series with monotonic null sequence coefficients, as well as a recently proved theorem of Telyakovskiî are generalized to a certain subclass of the quasi monotone decreasing coefficients.

Surgical Management and Complex Treatment of Infected Pancreatic Necrosis: 18-Year Experience at a Single Center

Infected pancreatic necrosis (IPN), the most severe form of acute pancreatitis, is responsible for most cases of pancreatitis-related morbidity and mortality. Since 1986, 220 patients with IPN have been treated. The surgical treatment was performed on average 18.5 days (range, 8–25 days) after the onset of acute pancreatitis and consisted of wide-ranging necrosectomy, combined with widespread drainage and continuous lavage. In 108 of the 220 cases, some other surgical intervention (distal pancreatic resection, splenectomy, total pancreatectomy, cholecystectomy, colon resection, etc.) was also performed. Following surgery, the supportive therapy consisted of immunonutrition (glutamine and arginine supplementation) and modification of cytokine production with pentoxifylline and dexamethasone. Continuous lavage was applied for an average of 44.5 days (range, 21–95 days), with an average of 9.5 L (range, 5–20 L) of saline per day. The bacteriologic findings revealed mainly enteral bacteria, but Candida infection was also frequently detected (21%). Forty-eight patients (22%) had to undergo reoperation. The overall hospital mortality was 7.7% (17 patients died). In our experience, IPN responds well to adequate surgical treatment, continuous, longstanding widespread drainage and lavage, together with supportive therapy consisting of immunonutrition and modification of cytokine production, combined with adequate antibiotic and antifungal medication.

Organ-preserving pancreatic head resection in chronic pancreatitis†

Twenty to thirty per cent of patients with chronic pancreatitis develop inflammatory enlargement of the head of the pancreas. A safe procedure has been developed for duodenum‐preserving pancreatic head resection; this report describes the preliminary results achieved.

Strong approximation by Fourier series

G. Freud had wide research interests which included Fourier series. In this survey paper we intend to show the great influence of his only paper [2] on strong approximation of Fourier series. This article has been the origin of a new subject called nowadays “converse-type results for strong approximation of Fourier series.” Before stating his initial result we outline briefly the background of the subject. After the classical result of Fejer in 1904 on the convergence of the arithmetical mean of the partial sums of a Fourier series of 2x-periodic functions, Hardy and Littlewood [3] began to investigate the problem of so-called strong summability. It turned out that under certain conditions not only the means

Inequalities of Hardy-Littlewood type

AbstractПолучено восемь нера венств для квазимоно тонных последовательносте й (и восемь неравенств для функций). Эти нерав енства в определенно м смысле могут рассматривать ся как обращение известных неравенств Харди-Лит тлвуда.

A note on embedding of classes Hω

Among others, we extend an interesting theorem of M. V. Medvedeva pertaining to the embedding relation Hω ∈ ΛBV, where ΛBV denotes the set of the functions of Λ-bounded variation.

Safe closure technique for distal pancreatic resection

Background and aimsVarious methods had previously been employed to manage the proximal pancreas after distal resection (mattress sutures with duct ligation; pancreato-enterostomy or stapling with stainless steel staples, etc.), with postoperative complications in 13% (6%–30%) of the cases, on average. In our practice, to reduce these complications, we applied staples made from Polysorb (Auto Suture), an absorbable lactomer.Patients/methodsIn the past 10 years, distal pancreatic resection in 90 patients [62 men, 28 women, mean age 52 (24–72)] years) was followed by closure of the resection surfaces with absorbable lactomer clips. Indications for distal resection (with or without splenectomy) were: focal pancreatic necrosis, spontaneous pancreatic fistulas, abscess, pseudocyst, traumatic disruption, segmental chronic obstructive pancreatitis in the tail, and benign (cystadenoma, or insulinoma) or malignant tumours.ResultsThe postoperative period was uneventful in all these patients, without any complications (pancreatic fistula, abscess or bleeding). No morbidity or mortality occurred in the follow-up period (6 or 12 months postoperatively) with the exception of one patient who suffered a pseudocyst 6 months after surgery and was treated by cysto-jejunostomy.ConclusionsThe clinical results clearly demonstrated that the application of absorbable lactomer staples for closure of the transected margin of the pancreas is a safe alternative to the standard closure technique. These staples can be applied in all cases when distal pancreatic resection is indicated for benign or malignant disorders or a traumatically injured pancreatic gland.

Strong and best approximation of Fourier series and the Lipschitz classes

AbstractСтатья содержит весьма общее утверждение о сильном приближении суммами Фурье (теорема 1), из котороговытекают многие ранее известные, а также некоторые новые резуль-таты В частности доказано, что неравенство

Some inequalities of Hardy-Littlewood type

E_n (f) \leqq K\left\| {\left. {\left\{ {\frac{1}{{n^\beta }}\sum\limits_{v = 0}^n {(v + 1)^{\beta - 1} |S_v - f|^p } } \right\}^{{1 \mathord{\left/ {\vphantom {1 p}} \right. \kern-\nulldelimiterspace} p}} } \right\|} \right.