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Description
Frontiers in Approximation TheoryThis monograph presents the author's work of the last five years in approximation theory. The chapters are self contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book. The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the
This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.
The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss-Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.
The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries.
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4.7 ★★★★★
Based on 118 reviews
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Product Reviews
★★★★★ 4
I finally took the plunge. A satisfying star read
Format: Kindle
What a chicken I was to leave off reading this book for YEARS because I couldn’t cope with Logan’s “situation” (no spoilers!) & how it could possibly be sorted in his own book. Oh ye of little faith! Elle Kennedy isn’t a #1 author by CHANCE! Oh no, that is TALENT baby! She took the end of book one, ran with it, then flipped that mother sucker on its head to dig deeper into Logan and learn about Grace. These two were definitely made for each other.
The story spans from one school year to the next and we get lots of context too. There are some side characters that I’m not sure o know why they were added as they didn’t add to the story and a particular side character that really needed an ending as she just disappeared. Why was she so unhappy? What was she getting into off page? Was she ever forgiven?
The s story seemed to end abruptly, and that threw me off a bit. I kept going like I was gonna flip another page, and that was the end! Besides the fact of feeling like there are so many things left unsaid this was a good book. Definitely liked book one more but that could also be because the show just came out on prime but nahh, I loved to book one even a decade ago, and it’s still amazing to this day!
The hard part of this was the female narrator on the portions when I listened…Lorelei Avalon, she was NOT CAST properly in my opinion at all. She’s not a bad narrator, she’s just not suited, even remotely, for a late teens early 20-year-old college student. Her voice is more for characters late 40s early 50s in my opinion. I’m glad on book 3. It looks like we changed the narrator so I hope to mostly listen to that one. As always, Lee Samuels did a phenomenal job. He’s been in the game for a while, so maybe that’s what helps make it right for him. But he definitely knew how to change the nuances of his voice to suit whatever character he was reading at that time.
All in all, this was a really good book that I’m sad. I waited so long to read. Thanks to campus diaries coming out on TV? I’m ready to finally finish up this series! Book 3 here I come!!
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Reviewed in the United States on May 28, 2026
★★★★★ 5
🎧
Format: Paperback
The start of this book had me nervous but I ended up really loving this book! I loved how aware Logan was to what he was doing to Grace and stopped it even though it hurt to read. I loved that Grace made him WORK for her forgiveness and some parts were even SO funny. I loved all four of the guys and their great banter. My sweet baby Logan really was going through it in his personal life and his story resonated so much with me. I cried multiple times while reading and cried happy tears at the ending. It was perfect and exactly how I hoped it would end.
🎧 The narrators did a fantastic job with the dual narration.
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Reviewed in the United States on May 17, 2026
★★★★★ 4
*MILD SPOILERS*
Format: Kindle
this was amazing!!! i loved the characters and the writing is a lot better than most of its sport-romance-book counterparts. the worst part of it for me was the climax, i felt as though the FMC’s actions did not match her personality type. he is unsure about their relationship and is worried that she will leave him due to the seemingly bleak and boring future ahead of him. he voices this to her and she gets mad. mind you, this man had to grovel and beg and complete tasks for a single DATE. like girl, if we had been dating for 2 months and i had to do all that to get a date, i would be insecure too. it was quick so easily ignorable, but still bumped it down a star.
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Reviewed in the United States on May 20, 2026
★★★★★ 5
The 1st one is better than this one but I still love it
Format: Kindle
The Mistake is the second book in Elle Kennedy’s Off-Campus series, following a new couple while maintaining the humor, steamy romance, and emotional depth that made The Deal so popular. This installment focuses on Logan, Garrett’s best friend and fellow hockey player, and Grace, a quiet but strong-willed freshman, as they navigate second chances and personal growth.
John Logan – Logan is charming, funny, and a ladies' man, but beneath his confident exterior, he struggles with deep-seated family issues and a sense of being trapped by his circumstances. His development throughout the book makes him more than just the stereotypical player.
Grace Ivers – A freshman who starts off shy but proves to be independent and assertive. She isn’t easily won over, and her ability to stand her ground makes her a refreshing and likable heroine.
Familiar faces from The Deal, including Garrett and Hannah, return, while new side characters add to the college setting’s energy and humor.
Kennedy’s writing is engaging, with a mix of humor, emotional moments, and steamy romance. The alternating perspectives between Logan and Grace allow for a well-rounded view of their relationship and personal struggles. The book delivers plenty of humor and flirty banter while also tackling deeper themes of family responsibility, self-worth, and making tough life choices. The chemistry between Logan and Grace is strong, and their romance is a blend of fun, tension, and genuine emotional connection.
Strengths
✔ Strong Character Growth – Both Logan and Grace undergo realistic, satisfying development.
✔ Second-Chance Romance Done Right – Logan’s journey to making up for his mistake feels earned, and Grace doesn’t immediately forgive him, which adds authenticity.
✔ Engaging Writing & Humor – The witty dialogue and college setting keep the story entertaining.
✔ Balanced Romance & Personal Struggles – The love story is front and center, but each character also has their own challenges to overcome.
The Mistake is a fun, emotional, and steamy addition to the Off-Campus series. While it follows a familiar formula, the engaging characters and well-paced romance make it a standout. Fans of The Deal and other college sports romances like The Chase by Elle Kennedy or The Score (book 3 in the series) will love this one.
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Reviewed in the United States on February 16, 2025
★★★★★ 5
Love this cleanser
Size: 13.52 Fl Oz (Pack of 1), Style: 13.52 Fl Oz (Bottle)
I really love their products. This one in particular stands out to me bc I get oily around my chest and get little superficial pimples on my arms/neck and back and WOW!! This stuff really gets them gone! I use this all over my body the oily parts and I just love it! No smell at all. Very gentle. Not greasy! Great deal for the size and it’s been a game changer. I’ve realized I’m sensitive to even sensitive skin cleansers and this one doesn’t irritate at all!
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Reviewed in the United States on May 21, 2026
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